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Finding the Third Proportional to 424,347,985.50 and 927,583,734

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Solution

The third proportional to 424,347,985.50 and 927,583,734 is: 2,027,608,502.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,347,985.50 : 927,583,734 = 927,583,734 : x
  2. Step 2: Convert to fraction form
    424,347,985.50/927,583,734 = 927,583,734/x
  3. Step 3: Cross multiply
    424,347,985.50x = 927,583,734 × 927,583,734
  4. Step 4: Simplify right side
    424,347,985.50x = 860,411,583,581,382,784
  5. Step 5: Solve for x
    x = 860,411,583,581,382,784/424,347,985.50
  6. Step 6: Final answer
    x = 2,027,608,502.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.