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Finding the Third Proportional to 977,419 and 1,513,422

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Solution

The third proportional to 977,419 and 1,513,422 is: 2,343,361.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,419 : 1,513,422 = 1,513,422 : x
  2. Step 2: Convert to fraction form
    977,419/1,513,422 = 1,513,422/x
  3. Step 3: Cross multiply
    977,419x = 1,513,422 × 1,513,422
  4. Step 4: Simplify right side
    977,419x = 2,290,446,150,084
  5. Step 5: Solve for x
    x = 2,290,446,150,084/977,419
  6. Step 6: Final answer
    x = 2,343,361.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.