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Finding the Third Proportional to 478,071 and 1,034,550

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Solution

The third proportional to 478,071 and 1,034,550 is: 2,238,775.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,071 : 1,034,550 = 1,034,550 : x
  2. Step 2: Convert to fraction form
    478,071/1,034,550 = 1,034,550/x
  3. Step 3: Cross multiply
    478,071x = 1,034,550 × 1,034,550
  4. Step 4: Simplify right side
    478,071x = 1,070,293,702,500
  5. Step 5: Solve for x
    x = 1,070,293,702,500/478,071
  6. Step 6: Final answer
    x = 2,238,775.63

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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.