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Finding the Third Proportional to 1,362,913.59 and 2,973,385.97

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Solution

The third proportional to 1,362,913.59 and 2,973,385.97 is: 6,486,855.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362,913.59 : 2,973,385.97 = 2,973,385.97 : x
  2. Step 2: Convert to fraction form
    1,362,913.59/2,973,385.97 = 2,973,385.97/x
  3. Step 3: Cross multiply
    1,362,913.59x = 2,973,385.97 × 2,973,385.97
  4. Step 4: Simplify right side
    1,362,913.59x = 8,841,024,119,159.38
  5. Step 5: Solve for x
    x = 8,841,024,119,159.38/1,362,913.59
  6. Step 6: Final answer
    x = 6,486,855.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.