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Finding the Third Proportional to 2,032,565 and 2,992,693

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Solution

The third proportional to 2,032,565 and 2,992,693 is: 4,406,359.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032,565 : 2,992,693 = 2,992,693 : x
  2. Step 2: Convert to fraction form
    2,032,565/2,992,693 = 2,992,693/x
  3. Step 3: Cross multiply
    2,032,565x = 2,992,693 × 2,992,693
  4. Step 4: Simplify right side
    2,032,565x = 8,956,211,392,249
  5. Step 5: Solve for x
    x = 8,956,211,392,249/2,032,565
  6. Step 6: Final answer
    x = 4,406,359.15

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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.