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Finding the Third Proportional to 484,725 and 1,041,414

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Solution

The third proportional to 484,725 and 1,041,414 is: 2,237,440.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,725 : 1,041,414 = 1,041,414 : x
  2. Step 2: Convert to fraction form
    484,725/1,041,414 = 1,041,414/x
  3. Step 3: Cross multiply
    484,725x = 1,041,414 × 1,041,414
  4. Step 4: Simplify right side
    484,725x = 1,084,543,119,396
  5. Step 5: Solve for x
    x = 1,084,543,119,396/484,725
  6. Step 6: Final answer
    x = 2,237,440.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.