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Finding the Third Proportional to 463,702 and 977,222

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Solution

The third proportional to 463,702 and 977,222 is: 2,059,432.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,702 : 977,222 = 977,222 : x
  2. Step 2: Convert to fraction form
    463,702/977,222 = 977,222/x
  3. Step 3: Cross multiply
    463,702x = 977,222 × 977,222
  4. Step 4: Simplify right side
    463,702x = 954,962,837,284
  5. Step 5: Solve for x
    x = 954,962,837,284/463,702
  6. Step 6: Final answer
    x = 2,059,432.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.