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Finding the Third Proportional to 562,298 and 1,224,429

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Solution

The third proportional to 562,298 and 1,224,429 is: 2,666,248.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,298 : 1,224,429 = 1,224,429 : x
  2. Step 2: Convert to fraction form
    562,298/1,224,429 = 1,224,429/x
  3. Step 3: Cross multiply
    562,298x = 1,224,429 × 1,224,429
  4. Step 4: Simplify right side
    562,298x = 1,499,226,376,041
  5. Step 5: Solve for x
    x = 1,499,226,376,041/562,298
  6. Step 6: Final answer
    x = 2,666,248.81

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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.