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Finding the Third Proportional to 3,219,810 and 4,357,323

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Solution

The third proportional to 3,219,810 and 4,357,323 is: 5,896,703.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219,810 : 4,357,323 = 4,357,323 : x
  2. Step 2: Convert to fraction form
    3,219,810/4,357,323 = 4,357,323/x
  3. Step 3: Cross multiply
    3,219,810x = 4,357,323 × 4,357,323
  4. Step 4: Simplify right side
    3,219,810x = 18,986,263,726,329
  5. Step 5: Solve for x
    x = 18,986,263,726,329/3,219,810
  6. Step 6: Final answer
    x = 5,896,703.14

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.