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Finding the Third Proportional to 584,854 and 883,653

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Solution

The third proportional to 584,854 and 883,653 is: 1,335,106.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,854 : 883,653 = 883,653 : x
  2. Step 2: Convert to fraction form
    584,854/883,653 = 883,653/x
  3. Step 3: Cross multiply
    584,854x = 883,653 × 883,653
  4. Step 4: Simplify right side
    584,854x = 780,842,624,409
  5. Step 5: Solve for x
    x = 780,842,624,409/584,854
  6. Step 6: Final answer
    x = 1,335,106.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.