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Finding the Third Proportional to 814,332 and 1,070,844

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Solution

The third proportional to 814,332 and 1,070,844 is: 1,408,156.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,332 : 1,070,844 = 1,070,844 : x
  2. Step 2: Convert to fraction form
    814,332/1,070,844 = 1,070,844/x
  3. Step 3: Cross multiply
    814,332x = 1,070,844 × 1,070,844
  4. Step 4: Simplify right side
    814,332x = 1,146,706,872,336
  5. Step 5: Solve for x
    x = 1,146,706,872,336/814,332
  6. Step 6: Final answer
    x = 1,408,156.47

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.