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Finding the Third Proportional to 562,545 and 1,215,064.13

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Solution

The third proportional to 562,545 and 1,215,064.13 is: 2,624,467.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,545 : 1,215,064.13 = 1,215,064.13 : x
  2. Step 2: Convert to fraction form
    562,545/1,215,064.13 = 1,215,064.13/x
  3. Step 3: Cross multiply
    562,545x = 1,215,064.13 × 1,215,064.13
  4. Step 4: Simplify right side
    562,545x = 1,476,380,827,862.02
  5. Step 5: Solve for x
    x = 1,476,380,827,862.02/562,545
  6. Step 6: Final answer
    x = 2,624,467.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.