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Finding the Third Proportional to 898,097.63 and 1,356,441.19

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Solution

The third proportional to 898,097.63 and 1,356,441.19 is: 2,048,700.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,097.63 : 1,356,441.19 = 1,356,441.19 : x
  2. Step 2: Convert to fraction form
    898,097.63/1,356,441.19 = 1,356,441.19/x
  3. Step 3: Cross multiply
    898,097.63x = 1,356,441.19 × 1,356,441.19
  4. Step 4: Simplify right side
    898,097.63x = 1,839,932,695,146.41
  5. Step 5: Solve for x
    x = 1,839,932,695,146.41/898,097.63
  6. Step 6: Final answer
    x = 2,048,700.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.