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Finding the Third Proportional to 873,822 and 1,180,590

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Solution

The third proportional to 873,822 and 1,180,590 is: 1,595,053.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,822 : 1,180,590 = 1,180,590 : x
  2. Step 2: Convert to fraction form
    873,822/1,180,590 = 1,180,590/x
  3. Step 3: Cross multiply
    873,822x = 1,180,590 × 1,180,590
  4. Step 4: Simplify right side
    873,822x = 1,393,792,748,100
  5. Step 5: Solve for x
    x = 1,393,792,748,100/873,822
  6. Step 6: Final answer
    x = 1,595,053.40

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.