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Finding the Third Proportional to 608,357 and 946,919

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Solution

The third proportional to 608,357 and 946,919 is: 1,473,897.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,357 : 946,919 = 946,919 : x
  2. Step 2: Convert to fraction form
    608,357/946,919 = 946,919/x
  3. Step 3: Cross multiply
    608,357x = 946,919 × 946,919
  4. Step 4: Simplify right side
    608,357x = 896,655,592,561
  5. Step 5: Solve for x
    x = 896,655,592,561/608,357
  6. Step 6: Final answer
    x = 1,473,897.06

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.