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Finding the Third Proportional to 872,941.85 and 1,346,777.93

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Solution

The third proportional to 872,941.85 and 1,346,777.93 is: 2,077,813.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,941.85 : 1,346,777.93 = 1,346,777.93 : x
  2. Step 2: Convert to fraction form
    872,941.85/1,346,777.93 = 1,346,777.93/x
  3. Step 3: Cross multiply
    872,941.85x = 1,346,777.93 × 1,346,777.93
  4. Step 4: Simplify right side
    872,941.85x = 1,813,810,791,893.35
  5. Step 5: Solve for x
    x = 1,813,810,791,893.35/872,941.85
  6. Step 6: Final answer
    x = 2,077,813.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.