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Finding the Third Proportional to 765,480 and 1,095,720

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Solution

The third proportional to 765,480 and 1,095,720 is: 1,568,430.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,480 : 1,095,720 = 1,095,720 : x
  2. Step 2: Convert to fraction form
    765,480/1,095,720 = 1,095,720/x
  3. Step 3: Cross multiply
    765,480x = 1,095,720 × 1,095,720
  4. Step 4: Simplify right side
    765,480x = 1,200,602,318,400
  5. Step 5: Solve for x
    x = 1,200,602,318,400/765,480
  6. Step 6: Final answer
    x = 1,568,430.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.