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Finding the Third Proportional to 586,938 and 933,666

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Solution

The third proportional to 586,938 and 933,666 is: 1,485,220.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,938 : 933,666 = 933,666 : x
  2. Step 2: Convert to fraction form
    586,938/933,666 = 933,666/x
  3. Step 3: Cross multiply
    586,938x = 933,666 × 933,666
  4. Step 4: Simplify right side
    586,938x = 871,732,199,556
  5. Step 5: Solve for x
    x = 871,732,199,556/586,938
  6. Step 6: Final answer
    x = 1,485,220.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.