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Finding the Third Proportional to 813,946 and 1,196,564

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Solution

The third proportional to 813,946 and 1,196,564 is: 1,759,042.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,946 : 1,196,564 = 1,196,564 : x
  2. Step 2: Convert to fraction form
    813,946/1,196,564 = 1,196,564/x
  3. Step 3: Cross multiply
    813,946x = 1,196,564 × 1,196,564
  4. Step 4: Simplify right side
    813,946x = 1,431,765,406,096
  5. Step 5: Solve for x
    x = 1,431,765,406,096/813,946
  6. Step 6: Final answer
    x = 1,759,042.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.