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Finding the Third Proportional to 3,497,671.50 and 5,146,483.50

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Solution

The third proportional to 3,497,671.50 and 5,146,483.50 is: 7,572,550.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497,671.50 : 5,146,483.50 = 5,146,483.50 : x
  2. Step 2: Convert to fraction form
    3,497,671.50/5,146,483.50 = 5,146,483.50/x
  3. Step 3: Cross multiply
    3,497,671.50x = 5,146,483.50 × 5,146,483.50
  4. Step 4: Simplify right side
    3,497,671.50x = 26,486,292,415,772.25
  5. Step 5: Solve for x
    x = 26,486,292,415,772.25/3,497,671.50
  6. Step 6: Final answer
    x = 7,572,550.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.