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Finding the Third Proportional to 1,053,472 and 1,577,321

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Solution

The third proportional to 1,053,472 and 1,577,321 is: 2,361,658.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053,472 : 1,577,321 = 1,577,321 : x
  2. Step 2: Convert to fraction form
    1,053,472/1,577,321 = 1,577,321/x
  3. Step 3: Cross multiply
    1,053,472x = 1,577,321 × 1,577,321
  4. Step 4: Simplify right side
    1,053,472x = 2,487,941,537,041
  5. Step 5: Solve for x
    x = 2,487,941,537,041/1,053,472
  6. Step 6: Final answer
    x = 2,361,658.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.