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Finding the Third Proportional to 514,297 and 1,053,650

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Solution

The third proportional to 514,297 and 1,053,650 is: 2,158,632.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,297 : 1,053,650 = 1,053,650 : x
  2. Step 2: Convert to fraction form
    514,297/1,053,650 = 1,053,650/x
  3. Step 3: Cross multiply
    514,297x = 1,053,650 × 1,053,650
  4. Step 4: Simplify right side
    514,297x = 1,110,178,322,500
  5. Step 5: Solve for x
    x = 1,110,178,322,500/514,297
  6. Step 6: Final answer
    x = 2,158,632.70

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Why These Related Problems?

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