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Finding the Third Proportional to 1,018,903.50 and 1,498,825.13

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Solution

The third proportional to 1,018,903.50 and 1,498,825.13 is: 2,204,798.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018,903.50 : 1,498,825.13 = 1,498,825.13 : x
  2. Step 2: Convert to fraction form
    1,018,903.50/1,498,825.13 = 1,498,825.13/x
  3. Step 3: Cross multiply
    1,018,903.50x = 1,498,825.13 × 1,498,825.13
  4. Step 4: Simplify right side
    1,018,903.50x = 2,246,476,755,331.27
  5. Step 5: Solve for x
    x = 2,246,476,755,331.27/1,018,903.50
  6. Step 6: Final answer
    x = 2,204,798.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.