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Finding the Third Proportional to 1,970,894.25 and 4,249,426.50

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Solution

The third proportional to 1,970,894.25 and 4,249,426.50 is: 9,162,148.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970,894.25 : 4,249,426.50 = 4,249,426.50 : x
  2. Step 2: Convert to fraction form
    1,970,894.25/4,249,426.50 = 4,249,426.50/x
  3. Step 3: Cross multiply
    1,970,894.25x = 4,249,426.50 × 4,249,426.50
  4. Step 4: Simplify right side
    1,970,894.25x = 18,057,625,578,902.25
  5. Step 5: Solve for x
    x = 18,057,625,578,902.25/1,970,894.25
  6. Step 6: Final answer
    x = 9,162,148.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.