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Finding the Third Proportional to 473,298 and 1,013,094

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Solution

The third proportional to 473,298 and 1,013,094 is: 2,168,526.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,298 : 1,013,094 = 1,013,094 : x
  2. Step 2: Convert to fraction form
    473,298/1,013,094 = 1,013,094/x
  3. Step 3: Cross multiply
    473,298x = 1,013,094 × 1,013,094
  4. Step 4: Simplify right side
    473,298x = 1,026,359,452,836
  5. Step 5: Solve for x
    x = 1,026,359,452,836/473,298
  6. Step 6: Final answer
    x = 2,168,526.92

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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.