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Finding the Third Proportional to 592,668 and 941,490

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Solution

The third proportional to 592,668 and 941,490 is: 1,495,615.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,668 : 941,490 = 941,490 : x
  2. Step 2: Convert to fraction form
    592,668/941,490 = 941,490/x
  3. Step 3: Cross multiply
    592,668x = 941,490 × 941,490
  4. Step 4: Simplify right side
    592,668x = 886,403,420,100
  5. Step 5: Solve for x
    x = 886,403,420,100/592,668
  6. Step 6: Final answer
    x = 1,495,615.45

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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.