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Finding the Third Proportional to 700,090 and 1,496,144

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Solution

The third proportional to 700,090 and 1,496,144 is: 3,197,370.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,090 : 1,496,144 = 1,496,144 : x
  2. Step 2: Convert to fraction form
    700,090/1,496,144 = 1,496,144/x
  3. Step 3: Cross multiply
    700,090x = 1,496,144 × 1,496,144
  4. Step 4: Simplify right side
    700,090x = 2,238,446,868,736
  5. Step 5: Solve for x
    x = 2,238,446,868,736/700,090
  6. Step 6: Final answer
    x = 3,197,370.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.