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Finding the Third Proportional to 698,092 and 1,507,588

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Solution

The third proportional to 698,092 and 1,507,588 is: 3,255,762.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,092 : 1,507,588 = 1,507,588 : x
  2. Step 2: Convert to fraction form
    698,092/1,507,588 = 1,507,588/x
  3. Step 3: Cross multiply
    698,092x = 1,507,588 × 1,507,588
  4. Step 4: Simplify right side
    698,092x = 2,272,821,577,744
  5. Step 5: Solve for x
    x = 2,272,821,577,744/698,092
  6. Step 6: Final answer
    x = 3,255,762.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.