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Finding the Third Proportional to 701,280 and 1,051,920

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Solution

The third proportional to 701,280 and 1,051,920 is: 1,577,880

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,280 : 1,051,920 = 1,051,920 : x
  2. Step 2: Convert to fraction form
    701,280/1,051,920 = 1,051,920/x
  3. Step 3: Cross multiply
    701,280x = 1,051,920 × 1,051,920
  4. Step 4: Simplify right side
    701,280x = 1,106,535,686,400
  5. Step 5: Solve for x
    x = 1,106,535,686,400/701,280
  6. Step 6: Final answer
    x = 1,577,880

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.