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Finding the Third Proportional to 1,429,146.50 and 3,065,511

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Solution

The third proportional to 1,429,146.50 and 3,065,511 is: 6,575,503.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,146.50 : 3,065,511 = 3,065,511 : x
  2. Step 2: Convert to fraction form
    1,429,146.50/3,065,511 = 3,065,511/x
  3. Step 3: Cross multiply
    1,429,146.50x = 3,065,511 × 3,065,511
  4. Step 4: Simplify right side
    1,429,146.50x = 9,397,357,691,121
  5. Step 5: Solve for x
    x = 9,397,357,691,121/1,429,146.50
  6. Step 6: Final answer
    x = 6,575,503.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.