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Finding the Third Proportional to 771,018 and 1,670,746.50

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Solution

The third proportional to 771,018 and 1,670,746.50 is: 3,620,400.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,018 : 1,670,746.50 = 1,670,746.50 : x
  2. Step 2: Convert to fraction form
    771,018/1,670,746.50 = 1,670,746.50/x
  3. Step 3: Cross multiply
    771,018x = 1,670,746.50 × 1,670,746.50
  4. Step 4: Simplify right side
    771,018x = 2,791,393,867,262.25
  5. Step 5: Solve for x
    x = 2,791,393,867,262.25/771,018
  6. Step 6: Final answer
    x = 3,620,400.39

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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.