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Finding the Third Proportional to 2,409,502.50 and 3,533,780.25

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Solution

The third proportional to 2,409,502.50 and 3,533,780.25 is: 5,182,647.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409,502.50 : 3,533,780.25 = 3,533,780.25 : x
  2. Step 2: Convert to fraction form
    2,409,502.50/3,533,780.25 = 3,533,780.25/x
  3. Step 3: Cross multiply
    2,409,502.50x = 3,533,780.25 × 3,533,780.25
  4. Step 4: Simplify right side
    2,409,502.50x = 12,487,602,855,290.06
  5. Step 5: Solve for x
    x = 12,487,602,855,290.06/2,409,502.50
  6. Step 6: Final answer
    x = 5,182,647.81

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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.