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Finding the Third Proportional to 474,658 and 1,023,532

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Solution

The third proportional to 474,658 and 1,023,532 is: 2,207,100.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,658 : 1,023,532 = 1,023,532 : x
  2. Step 2: Convert to fraction form
    474,658/1,023,532 = 1,023,532/x
  3. Step 3: Cross multiply
    474,658x = 1,023,532 × 1,023,532
  4. Step 4: Simplify right side
    474,658x = 1,047,617,755,024
  5. Step 5: Solve for x
    x = 1,047,617,755,024/474,658
  6. Step 6: Final answer
    x = 2,207,100.18

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.