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Finding the Third Proportional to 2,506,972 and 3,819,210

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Solution

The third proportional to 2,506,972 and 3,819,210 is: 5,818,319.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506,972 : 3,819,210 = 3,819,210 : x
  2. Step 2: Convert to fraction form
    2,506,972/3,819,210 = 3,819,210/x
  3. Step 3: Cross multiply
    2,506,972x = 3,819,210 × 3,819,210
  4. Step 4: Simplify right side
    2,506,972x = 14,586,365,024,100
  5. Step 5: Solve for x
    x = 14,586,365,024,100/2,506,972
  6. Step 6: Final answer
    x = 5,818,319.88

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.