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Finding the Third Proportional to 690,258 and 1,476,471

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Solution

The third proportional to 690,258 and 1,476,471 is: 3,158,191.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,258 : 1,476,471 = 1,476,471 : x
  2. Step 2: Convert to fraction form
    690,258/1,476,471 = 1,476,471/x
  3. Step 3: Cross multiply
    690,258x = 1,476,471 × 1,476,471
  4. Step 4: Simplify right side
    690,258x = 2,179,966,613,841
  5. Step 5: Solve for x
    x = 2,179,966,613,841/690,258
  6. Step 6: Final answer
    x = 3,158,191.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.