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Finding the Third Proportional to 473,242 and 1,026,332

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Solution

The third proportional to 473,242 and 1,026,332 is: 2,225,832.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,242 : 1,026,332 = 1,026,332 : x
  2. Step 2: Convert to fraction form
    473,242/1,026,332 = 1,026,332/x
  3. Step 3: Cross multiply
    473,242x = 1,026,332 × 1,026,332
  4. Step 4: Simplify right side
    473,242x = 1,053,357,374,224
  5. Step 5: Solve for x
    x = 1,053,357,374,224/473,242
  6. Step 6: Final answer
    x = 2,225,832.39

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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.