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Finding the Third Proportional to 417,071 and 910,596

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Solution

The third proportional to 417,071 and 910,596 is: 1,988,114.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,071 : 910,596 = 910,596 : x
  2. Step 2: Convert to fraction form
    417,071/910,596 = 910,596/x
  3. Step 3: Cross multiply
    417,071x = 910,596 × 910,596
  4. Step 4: Simplify right side
    417,071x = 829,185,075,216
  5. Step 5: Solve for x
    x = 829,185,075,216/417,071
  6. Step 6: Final answer
    x = 1,988,114.91

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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.