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Finding the Third Proportional to 1,835,705.53 and 3,976,502.63

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Solution

The third proportional to 1,835,705.53 and 3,976,502.63 is: 8,613,894.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835,705.53 : 3,976,502.63 = 3,976,502.63 : x
  2. Step 2: Convert to fraction form
    1,835,705.53/3,976,502.63 = 3,976,502.63/x
  3. Step 3: Cross multiply
    1,835,705.53x = 3,976,502.63 × 3,976,502.63
  4. Step 4: Simplify right side
    1,835,705.53x = 15,812,573,126,631.89
  5. Step 5: Solve for x
    x = 15,812,573,126,631.89/1,835,705.53
  6. Step 6: Final answer
    x = 8,613,894.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.