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Finding the Third Proportional to 653,498 and 1,415,557

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Solution

The third proportional to 653,498 and 1,415,557 is: 3,066,270.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,498 : 1,415,557 = 1,415,557 : x
  2. Step 2: Convert to fraction form
    653,498/1,415,557 = 1,415,557/x
  3. Step 3: Cross multiply
    653,498x = 1,415,557 × 1,415,557
  4. Step 4: Simplify right side
    653,498x = 2,003,801,620,249
  5. Step 5: Solve for x
    x = 2,003,801,620,249/653,498
  6. Step 6: Final answer
    x = 3,066,270.47

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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.