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Finding the Third Proportional to 731,574 and 1,497,046

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Solution

The third proportional to 731,574 and 1,497,046 is: 3,063,458.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,574 : 1,497,046 = 1,497,046 : x
  2. Step 2: Convert to fraction form
    731,574/1,497,046 = 1,497,046/x
  3. Step 3: Cross multiply
    731,574x = 1,497,046 × 1,497,046
  4. Step 4: Simplify right side
    731,574x = 2,241,146,726,116
  5. Step 5: Solve for x
    x = 2,241,146,726,116/731,574
  6. Step 6: Final answer
    x = 3,063,458.69

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.