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Finding the Third Proportional to 616,813 and 920,106

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Solution

The third proportional to 616,813 and 920,106 is: 1,372,531.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,813 : 920,106 = 920,106 : x
  2. Step 2: Convert to fraction form
    616,813/920,106 = 920,106/x
  3. Step 3: Cross multiply
    616,813x = 920,106 × 920,106
  4. Step 4: Simplify right side
    616,813x = 846,595,051,236
  5. Step 5: Solve for x
    x = 846,595,051,236/616,813
  6. Step 6: Final answer
    x = 1,372,531.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.