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Finding the Third Proportional to 592,470 and 846,639

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Solution

The third proportional to 592,470 and 846,639 is: 1,209,846.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,470 : 846,639 = 846,639 : x
  2. Step 2: Convert to fraction form
    592,470/846,639 = 846,639/x
  3. Step 3: Cross multiply
    592,470x = 846,639 × 846,639
  4. Step 4: Simplify right side
    592,470x = 716,797,596,321
  5. Step 5: Solve for x
    x = 716,797,596,321/592,470
  6. Step 6: Final answer
    x = 1,209,846.23

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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.