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Finding the Third Proportional to 1,490,632 and 3,217,297

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Solution

The third proportional to 1,490,632 and 3,217,297 is: 6,944,034.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490,632 : 3,217,297 = 3,217,297 : x
  2. Step 2: Convert to fraction form
    1,490,632/3,217,297 = 3,217,297/x
  3. Step 3: Cross multiply
    1,490,632x = 3,217,297 × 3,217,297
  4. Step 4: Simplify right side
    1,490,632x = 10,350,999,986,209
  5. Step 5: Solve for x
    x = 10,350,999,986,209/1,490,632
  6. Step 6: Final answer
    x = 6,944,034.47

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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.