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Finding the Third Proportional to 473,246 and 1,026,340

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Solution

The third proportional to 473,246 and 1,026,340 is: 2,225,848.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,246 : 1,026,340 = 1,026,340 : x
  2. Step 2: Convert to fraction form
    473,246/1,026,340 = 1,026,340/x
  3. Step 3: Cross multiply
    473,246x = 1,026,340 × 1,026,340
  4. Step 4: Simplify right side
    473,246x = 1,053,373,795,600
  5. Step 5: Solve for x
    x = 1,053,373,795,600/473,246
  6. Step 6: Final answer
    x = 2,225,848.28

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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.