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Finding the Third Proportional to 594,460 and 1,288,492

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Solution

The third proportional to 594,460 and 1,288,492 is: 2,792,806.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,460 : 1,288,492 = 1,288,492 : x
  2. Step 2: Convert to fraction form
    594,460/1,288,492 = 1,288,492/x
  3. Step 3: Cross multiply
    594,460x = 1,288,492 × 1,288,492
  4. Step 4: Simplify right side
    594,460x = 1,660,211,634,064
  5. Step 5: Solve for x
    x = 1,660,211,634,064/594,460
  6. Step 6: Final answer
    x = 2,792,806.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.