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Finding the Third Proportional to 450,079.88 and 977,437.13

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Solution

The third proportional to 450,079.88 and 977,437.13 is: 2,122,697.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,079.88 : 977,437.13 = 977,437.13 : x
  2. Step 2: Convert to fraction form
    450,079.88/977,437.13 = 977,437.13/x
  3. Step 3: Cross multiply
    450,079.88x = 977,437.13 × 977,437.13
  4. Step 4: Simplify right side
    450,079.88x = 955,383,333,328.27
  5. Step 5: Solve for x
    x = 955,383,333,328.27/450,079.88
  6. Step 6: Final answer
    x = 2,122,697.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.