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Finding the Third Proportional to 2,242,822.50 and 4,779,243

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Solution

The third proportional to 2,242,822.50 and 4,779,243 is: 10,184,115.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242,822.50 : 4,779,243 = 4,779,243 : x
  2. Step 2: Convert to fraction form
    2,242,822.50/4,779,243 = 4,779,243/x
  3. Step 3: Cross multiply
    2,242,822.50x = 4,779,243 × 4,779,243
  4. Step 4: Simplify right side
    2,242,822.50x = 22,841,163,653,049
  5. Step 5: Solve for x
    x = 22,841,163,653,049/2,242,822.50
  6. Step 6: Final answer
    x = 10,184,115.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.