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Finding the Third Proportional to 473,264 and 1,026,386

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Solution

The third proportional to 473,264 and 1,026,386 is: 2,225,963.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,264 : 1,026,386 = 1,026,386 : x
  2. Step 2: Convert to fraction form
    473,264/1,026,386 = 1,026,386/x
  3. Step 3: Cross multiply
    473,264x = 1,026,386 × 1,026,386
  4. Step 4: Simplify right side
    473,264x = 1,053,468,220,996
  5. Step 5: Solve for x
    x = 1,053,468,220,996/473,264
  6. Step 6: Final answer
    x = 2,225,963.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.