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Finding the Third Proportional to 403,792,321.50 and 876,498,979.50

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Solution

The third proportional to 403,792,321.50 and 876,498,979.50 is: 1,902,588,088.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,792,321.50 : 876,498,979.50 = 876,498,979.50 : x
  2. Step 2: Convert to fraction form
    403,792,321.50/876,498,979.50 = 876,498,979.50/x
  3. Step 3: Cross multiply
    403,792,321.50x = 876,498,979.50 × 876,498,979.50
  4. Step 4: Simplify right side
    403,792,321.50x = 768,250,461,064,541,440
  5. Step 5: Solve for x
    x = 768,250,461,064,541,440/403,792,321.50
  6. Step 6: Final answer
    x = 1,902,588,088.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.