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Finding the Third Proportional to 611,283 and 1,343,577

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Solution

The third proportional to 611,283 and 1,343,577 is: 2,953,131.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,283 : 1,343,577 = 1,343,577 : x
  2. Step 2: Convert to fraction form
    611,283/1,343,577 = 1,343,577/x
  3. Step 3: Cross multiply
    611,283x = 1,343,577 × 1,343,577
  4. Step 4: Simplify right side
    611,283x = 1,805,199,154,929
  5. Step 5: Solve for x
    x = 1,805,199,154,929/611,283
  6. Step 6: Final answer
    x = 2,953,131.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.