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Finding the Third Proportional to 2,249,194.50 and 4,897,719

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Solution

The third proportional to 2,249,194.50 and 4,897,719 is: 10,664,996.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249,194.50 : 4,897,719 = 4,897,719 : x
  2. Step 2: Convert to fraction form
    2,249,194.50/4,897,719 = 4,897,719/x
  3. Step 3: Cross multiply
    2,249,194.50x = 4,897,719 × 4,897,719
  4. Step 4: Simplify right side
    2,249,194.50x = 23,987,651,402,961
  5. Step 5: Solve for x
    x = 23,987,651,402,961/2,249,194.50
  6. Step 6: Final answer
    x = 10,664,996.47

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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.