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Finding the Third Proportional to 607,477 and 1,406,318

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Solution

The third proportional to 607,477 and 1,406,318 is: 3,255,646.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,477 : 1,406,318 = 1,406,318 : x
  2. Step 2: Convert to fraction form
    607,477/1,406,318 = 1,406,318/x
  3. Step 3: Cross multiply
    607,477x = 1,406,318 × 1,406,318
  4. Step 4: Simplify right side
    607,477x = 1,977,730,317,124
  5. Step 5: Solve for x
    x = 1,977,730,317,124/607,477
  6. Step 6: Final answer
    x = 3,255,646.41

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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.