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Finding the Third Proportional to 983,428 and 1,484,186

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Solution

The third proportional to 983,428 and 1,484,186 is: 2,239,928.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,428 : 1,484,186 = 1,484,186 : x
  2. Step 2: Convert to fraction form
    983,428/1,484,186 = 1,484,186/x
  3. Step 3: Cross multiply
    983,428x = 1,484,186 × 1,484,186
  4. Step 4: Simplify right side
    983,428x = 2,202,808,082,596
  5. Step 5: Solve for x
    x = 2,202,808,082,596/983,428
  6. Step 6: Final answer
    x = 2,239,928.17

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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.