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Finding the Third Proportional to 1,035,498 and 1,569,285

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Solution

The third proportional to 1,035,498 and 1,569,285 is: 2,378,232.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035,498 : 1,569,285 = 1,569,285 : x
  2. Step 2: Convert to fraction form
    1,035,498/1,569,285 = 1,569,285/x
  3. Step 3: Cross multiply
    1,035,498x = 1,569,285 × 1,569,285
  4. Step 4: Simplify right side
    1,035,498x = 2,462,655,411,225
  5. Step 5: Solve for x
    x = 2,462,655,411,225/1,035,498
  6. Step 6: Final answer
    x = 2,378,232.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.