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Finding the Third Proportional to 607,484 and 1,406,336

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Solution

The third proportional to 607,484 and 1,406,336 is: 3,255,692.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,484 : 1,406,336 = 1,406,336 : x
  2. Step 2: Convert to fraction form
    607,484/1,406,336 = 1,406,336/x
  3. Step 3: Cross multiply
    607,484x = 1,406,336 × 1,406,336
  4. Step 4: Simplify right side
    607,484x = 1,977,780,944,896
  5. Step 5: Solve for x
    x = 1,977,780,944,896/607,484
  6. Step 6: Final answer
    x = 3,255,692.24

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.