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Finding the Third Proportional to 700,612 and 1,457,138

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Solution

The third proportional to 700,612 and 1,457,138 is: 3,030,566.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,612 : 1,457,138 = 1,457,138 : x
  2. Step 2: Convert to fraction form
    700,612/1,457,138 = 1,457,138/x
  3. Step 3: Cross multiply
    700,612x = 1,457,138 × 1,457,138
  4. Step 4: Simplify right side
    700,612x = 2,123,251,151,044
  5. Step 5: Solve for x
    x = 2,123,251,151,044/700,612
  6. Step 6: Final answer
    x = 3,030,566.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.