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Finding the Third Proportional to 406,808 and 884,968

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Solution

The third proportional to 406,808 and 884,968 is: 1,925,154.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,808 : 884,968 = 884,968 : x
  2. Step 2: Convert to fraction form
    406,808/884,968 = 884,968/x
  3. Step 3: Cross multiply
    406,808x = 884,968 × 884,968
  4. Step 4: Simplify right side
    406,808x = 783,168,361,024
  5. Step 5: Solve for x
    x = 783,168,361,024/406,808
  6. Step 6: Final answer
    x = 1,925,154.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.