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Finding the Third Proportional to 653,643 and 1,415,853

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Solution

The third proportional to 653,643 and 1,415,853 is: 3,066,872.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,643 : 1,415,853 = 1,415,853 : x
  2. Step 2: Convert to fraction form
    653,643/1,415,853 = 1,415,853/x
  3. Step 3: Cross multiply
    653,643x = 1,415,853 × 1,415,853
  4. Step 4: Simplify right side
    653,643x = 2,004,639,717,609
  5. Step 5: Solve for x
    x = 2,004,639,717,609/653,643
  6. Step 6: Final answer
    x = 3,066,872.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.