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Finding the Third Proportional to 1,604,378 and 2,406,909

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Solution

The third proportional to 1,604,378 and 2,406,909 is: 3,610,876.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604,378 : 2,406,909 = 2,406,909 : x
  2. Step 2: Convert to fraction form
    1,604,378/2,406,909 = 2,406,909/x
  3. Step 3: Cross multiply
    1,604,378x = 2,406,909 × 2,406,909
  4. Step 4: Simplify right side
    1,604,378x = 5,793,210,934,281
  5. Step 5: Solve for x
    x = 5,793,210,934,281/1,604,378
  6. Step 6: Final answer
    x = 3,610,876.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.