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Finding the Third Proportional to 740,691 and 1,106,163

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Solution

The third proportional to 740,691 and 1,106,163 is: 1,651,966.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,691 : 1,106,163 = 1,106,163 : x
  2. Step 2: Convert to fraction form
    740,691/1,106,163 = 1,106,163/x
  3. Step 3: Cross multiply
    740,691x = 1,106,163 × 1,106,163
  4. Step 4: Simplify right side
    740,691x = 1,223,596,582,569
  5. Step 5: Solve for x
    x = 1,223,596,582,569/740,691
  6. Step 6: Final answer
    x = 1,651,966.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.