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Finding the Third Proportional to 698,806.13 and 1,497,259.13

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Solution

The third proportional to 698,806.13 and 1,497,259.13 is: 3,208,021.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,806.13 : 1,497,259.13 = 1,497,259.13 : x
  2. Step 2: Convert to fraction form
    698,806.13/1,497,259.13 = 1,497,259.13/x
  3. Step 3: Cross multiply
    698,806.13x = 1,497,259.13 × 1,497,259.13
  4. Step 4: Simplify right side
    698,806.13x = 2,241,784,887,395.77
  5. Step 5: Solve for x
    x = 2,241,784,887,395.77/698,806.13
  6. Step 6: Final answer
    x = 3,208,021.23

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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.