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Finding the Third Proportional to 1,466,315.16 and 3,066,701.77

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Solution

The third proportional to 1,466,315.16 and 3,066,701.77 is: 6,413,805.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466,315.16 : 3,066,701.77 = 3,066,701.77 : x
  2. Step 2: Convert to fraction form
    1,466,315.16/3,066,701.77 = 3,066,701.77/x
  3. Step 3: Cross multiply
    1,466,315.16x = 3,066,701.77 × 3,066,701.77
  4. Step 4: Simplify right side
    1,466,315.16x = 9,404,659,719,287.49
  5. Step 5: Solve for x
    x = 9,404,659,719,287.49/1,466,315.16
  6. Step 6: Final answer
    x = 6,413,805.16

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.