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Finding the Third Proportional to 849,492 and 1,286,590

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Solution

The third proportional to 849,492 and 1,286,590 is: 1,948,592.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,492 : 1,286,590 = 1,286,590 : x
  2. Step 2: Convert to fraction form
    849,492/1,286,590 = 1,286,590/x
  3. Step 3: Cross multiply
    849,492x = 1,286,590 × 1,286,590
  4. Step 4: Simplify right side
    849,492x = 1,655,313,828,100
  5. Step 5: Solve for x
    x = 1,655,313,828,100/849,492
  6. Step 6: Final answer
    x = 1,948,592.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.