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Finding the Third Proportional to 730,154 and 1,597,952

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Solution

The third proportional to 730,154 and 1,597,952 is: 3,497,139.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,154 : 1,597,952 = 1,597,952 : x
  2. Step 2: Convert to fraction form
    730,154/1,597,952 = 1,597,952/x
  3. Step 3: Cross multiply
    730,154x = 1,597,952 × 1,597,952
  4. Step 4: Simplify right side
    730,154x = 2,553,450,594,304
  5. Step 5: Solve for x
    x = 2,553,450,594,304/730,154
  6. Step 6: Final answer
    x = 3,497,139.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.