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Finding the Third Proportional to 688,064 and 1,042,464

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Solution

The third proportional to 688,064 and 1,042,464 is: 1,579,404.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,064 : 1,042,464 = 1,042,464 : x
  2. Step 2: Convert to fraction form
    688,064/1,042,464 = 1,042,464/x
  3. Step 3: Cross multiply
    688,064x = 1,042,464 × 1,042,464
  4. Step 4: Simplify right side
    688,064x = 1,086,731,191,296
  5. Step 5: Solve for x
    x = 1,086,731,191,296/688,064
  6. Step 6: Final answer
    x = 1,579,404.23

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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.