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Finding the Third Proportional to 4,357,314 and 6,389,475

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Solution

The third proportional to 4,357,314 and 6,389,475 is: 9,369,393.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,357,314 : 6,389,475 = 6,389,475 : x
  2. Step 2: Convert to fraction form
    4,357,314/6,389,475 = 6,389,475/x
  3. Step 3: Cross multiply
    4,357,314x = 6,389,475 × 6,389,475
  4. Step 4: Simplify right side
    4,357,314x = 40,825,390,775,625
  5. Step 5: Solve for x
    x = 40,825,390,775,625/4,357,314
  6. Step 6: Final answer
    x = 9,369,393.80

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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.