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Finding the Third Proportional to 1,580,280 and 3,475,632

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Solution

The third proportional to 1,580,280 and 3,475,632 is: 7,644,226.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580,280 : 3,475,632 = 3,475,632 : x
  2. Step 2: Convert to fraction form
    1,580,280/3,475,632 = 3,475,632/x
  3. Step 3: Cross multiply
    1,580,280x = 3,475,632 × 3,475,632
  4. Step 4: Simplify right side
    1,580,280x = 12,080,017,799,424
  5. Step 5: Solve for x
    x = 12,080,017,799,424/1,580,280
  6. Step 6: Final answer
    x = 7,644,226.21

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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.