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Finding the Third Proportional to 676,469 and 1,070,361

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Solution

The third proportional to 676,469 and 1,070,361 is: 1,693,607.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,469 : 1,070,361 = 1,070,361 : x
  2. Step 2: Convert to fraction form
    676,469/1,070,361 = 1,070,361/x
  3. Step 3: Cross multiply
    676,469x = 1,070,361 × 1,070,361
  4. Step 4: Simplify right side
    676,469x = 1,145,672,670,321
  5. Step 5: Solve for x
    x = 1,145,672,670,321/676,469
  6. Step 6: Final answer
    x = 1,693,607.05

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.