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Finding the Third Proportional to 898,428 and 1,946,259

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Solution

The third proportional to 898,428 and 1,946,259 is: 4,216,168.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,428 : 1,946,259 = 1,946,259 : x
  2. Step 2: Convert to fraction form
    898,428/1,946,259 = 1,946,259/x
  3. Step 3: Cross multiply
    898,428x = 1,946,259 × 1,946,259
  4. Step 4: Simplify right side
    898,428x = 3,787,924,095,081
  5. Step 5: Solve for x
    x = 3,787,924,095,081/898,428
  6. Step 6: Final answer
    x = 4,216,168.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.