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Finding the Third Proportional to 1,971,893 and 2,949,959

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Solution

The third proportional to 1,971,893 and 2,949,959 is: 4,413,149.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971,893 : 2,949,959 = 2,949,959 : x
  2. Step 2: Convert to fraction form
    1,971,893/2,949,959 = 2,949,959/x
  3. Step 3: Cross multiply
    1,971,893x = 2,949,959 × 2,949,959
  4. Step 4: Simplify right side
    1,971,893x = 8,702,258,101,681
  5. Step 5: Solve for x
    x = 8,702,258,101,681/1,971,893
  6. Step 6: Final answer
    x = 4,413,149.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.