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Finding the Third Proportional to 698,663.81 and 1,496,927.25

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Solution

The third proportional to 698,663.81 and 1,496,927.25 is: 3,207,252.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,663.81 : 1,496,927.25 = 1,496,927.25 : x
  2. Step 2: Convert to fraction form
    698,663.81/1,496,927.25 = 1,496,927.25/x
  3. Step 3: Cross multiply
    698,663.81x = 1,496,927.25 × 1,496,927.25
  4. Step 4: Simplify right side
    698,663.81x = 2,240,791,191,792.56
  5. Step 5: Solve for x
    x = 2,240,791,191,792.56/698,663.81
  6. Step 6: Final answer
    x = 3,207,252.40

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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.