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Finding the Third Proportional to 402,925 and 877,022

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Solution

The third proportional to 402,925 and 877,022 is: 1,908,959.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,925 : 877,022 = 877,022 : x
  2. Step 2: Convert to fraction form
    402,925/877,022 = 877,022/x
  3. Step 3: Cross multiply
    402,925x = 877,022 × 877,022
  4. Step 4: Simplify right side
    402,925x = 769,167,588,484
  5. Step 5: Solve for x
    x = 769,167,588,484/402,925
  6. Step 6: Final answer
    x = 1,908,959.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.