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Finding the Third Proportional to 452,466 and 974,862

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Solution

The third proportional to 452,466 and 974,862 is: 2,100,391.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,466 : 974,862 = 974,862 : x
  2. Step 2: Convert to fraction form
    452,466/974,862 = 974,862/x
  3. Step 3: Cross multiply
    452,466x = 974,862 × 974,862
  4. Step 4: Simplify right side
    452,466x = 950,355,919,044
  5. Step 5: Solve for x
    x = 950,355,919,044/452,466
  6. Step 6: Final answer
    x = 2,100,391.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.