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Finding the Third Proportional to 463,428 and 1,015,422

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Solution

The third proportional to 463,428 and 1,015,422 is: 2,224,901.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,428 : 1,015,422 = 1,015,422 : x
  2. Step 2: Convert to fraction form
    463,428/1,015,422 = 1,015,422/x
  3. Step 3: Cross multiply
    463,428x = 1,015,422 × 1,015,422
  4. Step 4: Simplify right side
    463,428x = 1,031,081,838,084
  5. Step 5: Solve for x
    x = 1,031,081,838,084/463,428
  6. Step 6: Final answer
    x = 2,224,901.90

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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.