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Finding the Third Proportional to 2,142,465 and 4,462,482

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Solution

The third proportional to 2,142,465 and 4,462,482 is: 9,294,782.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142,465 : 4,462,482 = 4,462,482 : x
  2. Step 2: Convert to fraction form
    2,142,465/4,462,482 = 4,462,482/x
  3. Step 3: Cross multiply
    2,142,465x = 4,462,482 × 4,462,482
  4. Step 4: Simplify right side
    2,142,465x = 19,913,745,600,324
  5. Step 5: Solve for x
    x = 19,913,745,600,324/2,142,465
  6. Step 6: Final answer
    x = 9,294,782.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.