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Finding the Third Proportional to 698,710 and 1,497,032

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Solution

The third proportional to 698,710 and 1,497,032 is: 3,207,489.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,710 : 1,497,032 = 1,497,032 : x
  2. Step 2: Convert to fraction form
    698,710/1,497,032 = 1,497,032/x
  3. Step 3: Cross multiply
    698,710x = 1,497,032 × 1,497,032
  4. Step 4: Simplify right side
    698,710x = 2,241,104,809,024
  5. Step 5: Solve for x
    x = 2,241,104,809,024/698,710
  6. Step 6: Final answer
    x = 3,207,489.24

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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.