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Finding the Third Proportional to 534,870 and 1,138,428

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Solution

The third proportional to 534,870 and 1,138,428 is: 2,423,052.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,870 : 1,138,428 = 1,138,428 : x
  2. Step 2: Convert to fraction form
    534,870/1,138,428 = 1,138,428/x
  3. Step 3: Cross multiply
    534,870x = 1,138,428 × 1,138,428
  4. Step 4: Simplify right side
    534,870x = 1,296,018,311,184
  5. Step 5: Solve for x
    x = 1,296,018,311,184/534,870
  6. Step 6: Final answer
    x = 2,423,052.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.