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Finding the Third Proportional to 846,070 and 1,310,691

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Solution

The third proportional to 846,070 and 1,310,691 is: 2,030,459.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,070 : 1,310,691 = 1,310,691 : x
  2. Step 2: Convert to fraction form
    846,070/1,310,691 = 1,310,691/x
  3. Step 3: Cross multiply
    846,070x = 1,310,691 × 1,310,691
  4. Step 4: Simplify right side
    846,070x = 1,717,910,897,481
  5. Step 5: Solve for x
    x = 1,717,910,897,481/846,070
  6. Step 6: Final answer
    x = 2,030,459.53

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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.