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Finding the Third Proportional to 3,006,047 and 4,656,511

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Solution

The third proportional to 3,006,047 and 4,656,511 is: 7,213,158.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006,047 : 4,656,511 = 4,656,511 : x
  2. Step 2: Convert to fraction form
    3,006,047/4,656,511 = 4,656,511/x
  3. Step 3: Cross multiply
    3,006,047x = 4,656,511 × 4,656,511
  4. Step 4: Simplify right side
    3,006,047x = 21,683,094,693,121
  5. Step 5: Solve for x
    x = 21,683,094,693,121/3,006,047
  6. Step 6: Final answer
    x = 7,213,158.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.