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Finding the Third Proportional to 1,032,468 and 1,564,242

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Solution

The third proportional to 1,032,468 and 1,564,242 is: 2,369,906.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032,468 : 1,564,242 = 1,564,242 : x
  2. Step 2: Convert to fraction form
    1,032,468/1,564,242 = 1,564,242/x
  3. Step 3: Cross multiply
    1,032,468x = 1,564,242 × 1,564,242
  4. Step 4: Simplify right side
    1,032,468x = 2,446,853,034,564
  5. Step 5: Solve for x
    x = 2,446,853,034,564/1,032,468
  6. Step 6: Final answer
    x = 2,369,906.90

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.