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Finding the Third Proportional to 562,700,884 and 849,931,314

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Solution

The third proportional to 562,700,884 and 849,931,314 is: 1,283,778,396.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,700,884 : 849,931,314 = 849,931,314 : x
  2. Step 2: Convert to fraction form
    562,700,884/849,931,314 = 849,931,314/x
  3. Step 3: Cross multiply
    562,700,884x = 849,931,314 × 849,931,314
  4. Step 4: Simplify right side
    562,700,884x = 722,383,238,517,766,656
  5. Step 5: Solve for x
    x = 722,383,238,517,766,656/562,700,884
  6. Step 6: Final answer
    x = 1,283,778,396.41

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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.