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Finding the Third Proportional to 2,617,814 and 3,840,528

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Solution

The third proportional to 2,617,814 and 3,840,528 is: 5,634,340.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617,814 : 3,840,528 = 3,840,528 : x
  2. Step 2: Convert to fraction form
    2,617,814/3,840,528 = 3,840,528/x
  3. Step 3: Cross multiply
    2,617,814x = 3,840,528 × 3,840,528
  4. Step 4: Simplify right side
    2,617,814x = 14,749,655,318,784
  5. Step 5: Solve for x
    x = 14,749,655,318,784/2,617,814
  6. Step 6: Final answer
    x = 5,634,340.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.