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Finding the Third Proportional to 730,210 and 1,597,850

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Solution

The third proportional to 730,210 and 1,597,850 is: 3,496,425.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,210 : 1,597,850 = 1,597,850 : x
  2. Step 2: Convert to fraction form
    730,210/1,597,850 = 1,597,850/x
  3. Step 3: Cross multiply
    730,210x = 1,597,850 × 1,597,850
  4. Step 4: Simplify right side
    730,210x = 2,553,124,622,500
  5. Step 5: Solve for x
    x = 2,553,124,622,500/730,210
  6. Step 6: Final answer
    x = 3,496,425.17

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