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Finding the Third Proportional to 2,506,747.50 and 3,818,875.50

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Solution

The third proportional to 2,506,747.50 and 3,818,875.50 is: 5,817,821.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506,747.50 : 3,818,875.50 = 3,818,875.50 : x
  2. Step 2: Convert to fraction form
    2,506,747.50/3,818,875.50 = 3,818,875.50/x
  3. Step 3: Cross multiply
    2,506,747.50x = 3,818,875.50 × 3,818,875.50
  4. Step 4: Simplify right side
    2,506,747.50x = 14,583,810,084,500.25
  5. Step 5: Solve for x
    x = 14,583,810,084,500.25/2,506,747.50
  6. Step 6: Final answer
    x = 5,817,821.73

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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.