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Finding the Third Proportional to 592,438 and 846,594

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Solution

The third proportional to 592,438 and 846,594 is: 1,209,782.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,438 : 846,594 = 846,594 : x
  2. Step 2: Convert to fraction form
    592,438/846,594 = 846,594/x
  3. Step 3: Cross multiply
    592,438x = 846,594 × 846,594
  4. Step 4: Simplify right side
    592,438x = 716,721,400,836
  5. Step 5: Solve for x
    x = 716,721,400,836/592,438
  6. Step 6: Final answer
    x = 1,209,782.97

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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.