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Finding the Third Proportional to 645,798 and 886,508

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Solution

The third proportional to 645,798 and 886,508 is: 1,216,938.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,798 : 886,508 = 886,508 : x
  2. Step 2: Convert to fraction form
    645,798/886,508 = 886,508/x
  3. Step 3: Cross multiply
    645,798x = 886,508 × 886,508
  4. Step 4: Simplify right side
    645,798x = 785,896,434,064
  5. Step 5: Solve for x
    x = 785,896,434,064/645,798
  6. Step 6: Final answer
    x = 1,216,938.48

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.