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Finding the Third Proportional to 528,892,704 and 1,142,769,312

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Solution

The third proportional to 528,892,704 and 1,142,769,312 is: 2,469,161,874.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,892,704 : 1,142,769,312 = 1,142,769,312 : x
  2. Step 2: Convert to fraction form
    528,892,704/1,142,769,312 = 1,142,769,312/x
  3. Step 3: Cross multiply
    528,892,704x = 1,142,769,312 × 1,142,769,312
  4. Step 4: Simplify right side
    528,892,704x = 1,305,921,700,448,953,344
  5. Step 5: Solve for x
    x = 1,305,921,700,448,953,344/528,892,704
  6. Step 6: Final answer
    x = 2,469,161,874.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.