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Finding the Third Proportional to 514,208 and 1,053,472

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Solution

The third proportional to 514,208 and 1,053,472 is: 2,158,276.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,208 : 1,053,472 = 1,053,472 : x
  2. Step 2: Convert to fraction form
    514,208/1,053,472 = 1,053,472/x
  3. Step 3: Cross multiply
    514,208x = 1,053,472 × 1,053,472
  4. Step 4: Simplify right side
    514,208x = 1,109,803,254,784
  5. Step 5: Solve for x
    x = 1,109,803,254,784/514,208
  6. Step 6: Final answer
    x = 2,158,276.91

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.