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Finding the Third Proportional to 1,537,398.14 and 3,363,520.78

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Solution

The third proportional to 1,537,398.14 and 3,363,520.78 is: 7,358,713.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537,398.14 : 3,363,520.78 = 3,363,520.78 : x
  2. Step 2: Convert to fraction form
    1,537,398.14/3,363,520.78 = 3,363,520.78/x
  3. Step 3: Cross multiply
    1,537,398.14x = 3,363,520.78 × 3,363,520.78
  4. Step 4: Simplify right side
    1,537,398.14x = 11,313,272,045,900.61
  5. Step 5: Solve for x
    x = 11,313,272,045,900.61/1,537,398.14
  6. Step 6: Final answer
    x = 7,358,713.24

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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.