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Finding the Third Proportional to 3,039,769.50 and 4,743,686.25

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Solution

The third proportional to 3,039,769.50 and 4,743,686.25 is: 7,402,718.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,039,769.50 : 4,743,686.25 = 4,743,686.25 : x
  2. Step 2: Convert to fraction form
    3,039,769.50/4,743,686.25 = 4,743,686.25/x
  3. Step 3: Cross multiply
    3,039,769.50x = 4,743,686.25 × 4,743,686.25
  4. Step 4: Simplify right side
    3,039,769.50x = 22,502,559,238,439.06
  5. Step 5: Solve for x
    x = 22,502,559,238,439.06/3,039,769.50
  6. Step 6: Final answer
    x = 7,402,718.94

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.