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Finding the Third Proportional to 3,497,294 and 5,249,181

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Solution

The third proportional to 3,497,294 and 5,249,181 is: 7,878,634.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497,294 : 5,249,181 = 5,249,181 : x
  2. Step 2: Convert to fraction form
    3,497,294/5,249,181 = 5,249,181/x
  3. Step 3: Cross multiply
    3,497,294x = 5,249,181 × 5,249,181
  4. Step 4: Simplify right side
    3,497,294x = 27,553,901,170,761
  5. Step 5: Solve for x
    x = 27,553,901,170,761/3,497,294
  6. Step 6: Final answer
    x = 7,878,634.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.