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Finding the Third Proportional to 592,709 and 846,969

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Solution

The third proportional to 592,709 and 846,969 is: 1,210,301.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,709 : 846,969 = 846,969 : x
  2. Step 2: Convert to fraction form
    592,709/846,969 = 846,969/x
  3. Step 3: Cross multiply
    592,709x = 846,969 × 846,969
  4. Step 4: Simplify right side
    592,709x = 717,356,486,961
  5. Step 5: Solve for x
    x = 717,356,486,961/592,709
  6. Step 6: Final answer
    x = 1,210,301.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.