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Finding the Third Proportional to 3,029,748 and 4,552,476

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Solution

The third proportional to 3,029,748 and 4,552,476 is: 6,840,515.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029,748 : 4,552,476 = 4,552,476 : x
  2. Step 2: Convert to fraction form
    3,029,748/4,552,476 = 4,552,476/x
  3. Step 3: Cross multiply
    3,029,748x = 4,552,476 × 4,552,476
  4. Step 4: Simplify right side
    3,029,748x = 20,725,037,730,576
  5. Step 5: Solve for x
    x = 20,725,037,730,576/3,029,748
  6. Step 6: Final answer
    x = 6,840,515.36

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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.