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Finding the Third Proportional to 750,176 and 1,071,984

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Solution

The third proportional to 750,176 and 1,071,984 is: 1,531,840.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,176 : 1,071,984 = 1,071,984 : x
  2. Step 2: Convert to fraction form
    750,176/1,071,984 = 1,071,984/x
  3. Step 3: Cross multiply
    750,176x = 1,071,984 × 1,071,984
  4. Step 4: Simplify right side
    750,176x = 1,149,149,696,256
  5. Step 5: Solve for x
    x = 1,149,149,696,256/750,176
  6. Step 6: Final answer
    x = 1,531,840.12

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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.