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Finding the Third Proportional to 3,101,123 and 4,549,623

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Solution

The third proportional to 3,101,123 and 4,549,623 is: 6,674,701.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101,123 : 4,549,623 = 4,549,623 : x
  2. Step 2: Convert to fraction form
    3,101,123/4,549,623 = 4,549,623/x
  3. Step 3: Cross multiply
    3,101,123x = 4,549,623 × 4,549,623
  4. Step 4: Simplify right side
    3,101,123x = 20,699,069,442,129
  5. Step 5: Solve for x
    x = 20,699,069,442,129/3,101,123
  6. Step 6: Final answer
    x = 6,674,701.21

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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.