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Finding the Third Proportional to 974,635 and 1,506,218

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Solution

The third proportional to 974,635 and 1,506,218 is: 2,327,735.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,635 : 1,506,218 = 1,506,218 : x
  2. Step 2: Convert to fraction form
    974,635/1,506,218 = 1,506,218/x
  3. Step 3: Cross multiply
    974,635x = 1,506,218 × 1,506,218
  4. Step 4: Simplify right side
    974,635x = 2,268,692,663,524
  5. Step 5: Solve for x
    x = 2,268,692,663,524/974,635
  6. Step 6: Final answer
    x = 2,327,735.68

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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.