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Finding the Third Proportional to 653,946 and 997,869.75

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Solution

The third proportional to 653,946 and 997,869.75 is: 1,522,670.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,946 : 997,869.75 = 997,869.75 : x
  2. Step 2: Convert to fraction form
    653,946/997,869.75 = 997,869.75/x
  3. Step 3: Cross multiply
    653,946x = 997,869.75 × 997,869.75
  4. Step 4: Simplify right side
    653,946x = 995,744,037,965.06
  5. Step 5: Solve for x
    x = 995,744,037,965.06/653,946
  6. Step 6: Final answer
    x = 1,522,670.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.