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Finding the Third Proportional to 2,126,353.50 and 4,547,763

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Solution

The third proportional to 2,126,353.50 and 4,547,763 is: 9,726,580.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126,353.50 : 4,547,763 = 4,547,763 : x
  2. Step 2: Convert to fraction form
    2,126,353.50/4,547,763 = 4,547,763/x
  3. Step 3: Cross multiply
    2,126,353.50x = 4,547,763 × 4,547,763
  4. Step 4: Simplify right side
    2,126,353.50x = 20,682,148,304,169
  5. Step 5: Solve for x
    x = 20,682,148,304,169/2,126,353.50
  6. Step 6: Final answer
    x = 9,726,580.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.