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Finding the Third Proportional to 4,497,420.50 and 6,908,588.50

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Solution

The third proportional to 4,497,420.50 and 6,908,588.50 is: 10,612,437.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497,420.50 : 6,908,588.50 = 6,908,588.50 : x
  2. Step 2: Convert to fraction form
    4,497,420.50/6,908,588.50 = 6,908,588.50/x
  3. Step 3: Cross multiply
    4,497,420.50x = 6,908,588.50 × 6,908,588.50
  4. Step 4: Simplify right side
    4,497,420.50x = 47,728,595,062,332.25
  5. Step 5: Solve for x
    x = 47,728,595,062,332.25/4,497,420.50
  6. Step 6: Final answer
    x = 10,612,437.74

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.