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Finding the Third Proportional to 562,263 and 1,224,359

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Solution

The third proportional to 562,263 and 1,224,359 is: 2,666,109.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,263 : 1,224,359 = 1,224,359 : x
  2. Step 2: Convert to fraction form
    562,263/1,224,359 = 1,224,359/x
  3. Step 3: Cross multiply
    562,263x = 1,224,359 × 1,224,359
  4. Step 4: Simplify right side
    562,263x = 1,499,054,960,881
  5. Step 5: Solve for x
    x = 1,499,054,960,881/562,263
  6. Step 6: Final answer
    x = 2,666,109.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.