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Finding the Third Proportional to 720,572 and 1,567,984

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Solution

The third proportional to 720,572 and 1,567,984 is: 3,411,975.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,572 : 1,567,984 = 1,567,984 : x
  2. Step 2: Convert to fraction form
    720,572/1,567,984 = 1,567,984/x
  3. Step 3: Cross multiply
    720,572x = 1,567,984 × 1,567,984
  4. Step 4: Simplify right side
    720,572x = 2,458,573,824,256
  5. Step 5: Solve for x
    x = 2,458,573,824,256/720,572
  6. Step 6: Final answer
    x = 3,411,975.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.