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Finding the Third Proportional to 924,896 and 2,017,863

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Solution

The third proportional to 924,896 and 2,017,863 is: 4,402,409.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,896 : 2,017,863 = 2,017,863 : x
  2. Step 2: Convert to fraction form
    924,896/2,017,863 = 2,017,863/x
  3. Step 3: Cross multiply
    924,896x = 2,017,863 × 2,017,863
  4. Step 4: Simplify right side
    924,896x = 4,071,771,086,769
  5. Step 5: Solve for x
    x = 4,071,771,086,769/924,896
  6. Step 6: Final answer
    x = 4,402,409.66

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