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Finding the Third Proportional to 4,461,465 and 6,019,566

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Solution

The third proportional to 4,461,465 and 6,019,566 is: 8,121,810.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,461,465 : 6,019,566 = 6,019,566 : x
  2. Step 2: Convert to fraction form
    4,461,465/6,019,566 = 6,019,566/x
  3. Step 3: Cross multiply
    4,461,465x = 6,019,566 × 6,019,566
  4. Step 4: Simplify right side
    4,461,465x = 36,235,174,828,356
  5. Step 5: Solve for x
    x = 36,235,174,828,356/4,461,465
  6. Step 6: Final answer
    x = 8,121,810.85

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.