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Finding the Third Proportional to 610,173 and 944,784

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Solution

The third proportional to 610,173 and 944,784 is: 1,462,891.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,173 : 944,784 = 944,784 : x
  2. Step 2: Convert to fraction form
    610,173/944,784 = 944,784/x
  3. Step 3: Cross multiply
    610,173x = 944,784 × 944,784
  4. Step 4: Simplify right side
    610,173x = 892,616,806,656
  5. Step 5: Solve for x
    x = 892,616,806,656/610,173
  6. Step 6: Final answer
    x = 1,462,891.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.