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Finding the Third Proportional to 661,788 and 1,403,038.50

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Solution

The third proportional to 661,788 and 1,403,038.50 is: 2,974,543.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,788 : 1,403,038.50 = 1,403,038.50 : x
  2. Step 2: Convert to fraction form
    661,788/1,403,038.50 = 1,403,038.50/x
  3. Step 3: Cross multiply
    661,788x = 1,403,038.50 × 1,403,038.50
  4. Step 4: Simplify right side
    661,788x = 1,968,517,032,482.25
  5. Step 5: Solve for x
    x = 1,968,517,032,482.25/661,788
  6. Step 6: Final answer
    x = 2,974,543.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.