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Finding the Third Proportional to 611,614 and 1,301,959

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Solution

The third proportional to 611,614 and 1,301,959 is: 2,771,514.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,614 : 1,301,959 = 1,301,959 : x
  2. Step 2: Convert to fraction form
    611,614/1,301,959 = 1,301,959/x
  3. Step 3: Cross multiply
    611,614x = 1,301,959 × 1,301,959
  4. Step 4: Simplify right side
    611,614x = 1,695,097,237,681
  5. Step 5: Solve for x
    x = 1,695,097,237,681/611,614
  6. Step 6: Final answer
    x = 2,771,514.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.