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Finding the Third Proportional to 2,249,054.25 and 4,897,438.50

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Solution

The third proportional to 2,249,054.25 and 4,897,438.50 is: 10,664,439.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249,054.25 : 4,897,438.50 = 4,897,438.50 : x
  2. Step 2: Convert to fraction form
    2,249,054.25/4,897,438.50 = 4,897,438.50/x
  3. Step 3: Cross multiply
    2,249,054.25x = 4,897,438.50 × 4,897,438.50
  4. Step 4: Simplify right side
    2,249,054.25x = 23,984,903,861,282.25
  5. Step 5: Solve for x
    x = 23,984,903,861,282.25/2,249,054.25
  6. Step 6: Final answer
    x = 10,664,439.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.