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Finding the Third Proportional to 2,186,768.81 and 2,943,823.50

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Solution

The third proportional to 2,186,768.81 and 2,943,823.50 is: 3,962,968.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186,768.81 : 2,943,823.50 = 2,943,823.50 : x
  2. Step 2: Convert to fraction form
    2,186,768.81/2,943,823.50 = 2,943,823.50/x
  3. Step 3: Cross multiply
    2,186,768.81x = 2,943,823.50 × 2,943,823.50
  4. Step 4: Simplify right side
    2,186,768.81x = 8,666,096,799,152.25
  5. Step 5: Solve for x
    x = 8,666,096,799,152.25/2,186,768.81
  6. Step 6: Final answer
    x = 3,962,968.90

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.