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Finding the Third Proportional to 700,152 and 1,425,984

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Solution

The third proportional to 700,152 and 1,425,984 is: 2,904,269.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,152 : 1,425,984 = 1,425,984 : x
  2. Step 2: Convert to fraction form
    700,152/1,425,984 = 1,425,984/x
  3. Step 3: Cross multiply
    700,152x = 1,425,984 × 1,425,984
  4. Step 4: Simplify right side
    700,152x = 2,033,430,368,256
  5. Step 5: Solve for x
    x = 2,033,430,368,256/700,152
  6. Step 6: Final answer
    x = 2,904,269.88

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.