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Finding the Third Proportional to 1,218,101 and 1,787,335

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Solution

The third proportional to 1,218,101 and 1,787,335 is: 2,622,579.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218,101 : 1,787,335 = 1,787,335 : x
  2. Step 2: Convert to fraction form
    1,218,101/1,787,335 = 1,787,335/x
  3. Step 3: Cross multiply
    1,218,101x = 1,787,335 × 1,787,335
  4. Step 4: Simplify right side
    1,218,101x = 3,194,566,402,225
  5. Step 5: Solve for x
    x = 3,194,566,402,225/1,218,101
  6. Step 6: Final answer
    x = 2,622,579.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.