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Finding the Third Proportional to 977,031.75 and 2,121,172.50

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Solution

The third proportional to 977,031.75 and 2,121,172.50 is: 4,605,144.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,031.75 : 2,121,172.50 = 2,121,172.50 : x
  2. Step 2: Convert to fraction form
    977,031.75/2,121,172.50 = 2,121,172.50/x
  3. Step 3: Cross multiply
    977,031.75x = 2,121,172.50 × 2,121,172.50
  4. Step 4: Simplify right side
    977,031.75x = 4,499,372,774,756.25
  5. Step 5: Solve for x
    x = 4,499,372,774,756.25/977,031.75
  6. Step 6: Final answer
    x = 4,605,144.89

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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.