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Finding the Third Proportional to 4,069,596 and 6,298,532

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Solution

The third proportional to 4,069,596 and 6,298,532 is: 9,748,266.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,069,596 : 6,298,532 = 6,298,532 : x
  2. Step 2: Convert to fraction form
    4,069,596/6,298,532 = 6,298,532/x
  3. Step 3: Cross multiply
    4,069,596x = 6,298,532 × 6,298,532
  4. Step 4: Simplify right side
    4,069,596x = 39,671,505,355,024
  5. Step 5: Solve for x
    x = 39,671,505,355,024/4,069,596
  6. Step 6: Final answer
    x = 9,748,266.25

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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.