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Finding the Third Proportional to 666,531 and 1,032,363

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Solution

The third proportional to 666,531 and 1,032,363 is: 1,598,985.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,531 : 1,032,363 = 1,032,363 : x
  2. Step 2: Convert to fraction form
    666,531/1,032,363 = 1,032,363/x
  3. Step 3: Cross multiply
    666,531x = 1,032,363 × 1,032,363
  4. Step 4: Simplify right side
    666,531x = 1,065,773,363,769
  5. Step 5: Solve for x
    x = 1,065,773,363,769/666,531
  6. Step 6: Final answer
    x = 1,598,985.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.