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Finding the Third Proportional to 1,578,290 and 3,478,312

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Solution

The third proportional to 1,578,290 and 3,478,312 is: 7,665,672.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578,290 : 3,478,312 = 3,478,312 : x
  2. Step 2: Convert to fraction form
    1,578,290/3,478,312 = 3,478,312/x
  3. Step 3: Cross multiply
    1,578,290x = 3,478,312 × 3,478,312
  4. Step 4: Simplify right side
    1,578,290x = 12,098,654,369,344
  5. Step 5: Solve for x
    x = 12,098,654,369,344/1,578,290
  6. Step 6: Final answer
    x = 7,665,672.58

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.