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Finding the Third Proportional to 569,948 and 886,034

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Solution

The third proportional to 569,948 and 886,034 is: 1,377,417.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,948 : 886,034 = 886,034 : x
  2. Step 2: Convert to fraction form
    569,948/886,034 = 886,034/x
  3. Step 3: Cross multiply
    569,948x = 886,034 × 886,034
  4. Step 4: Simplify right side
    569,948x = 785,056,249,156
  5. Step 5: Solve for x
    x = 785,056,249,156/569,948
  6. Step 6: Final answer
    x = 1,377,417.32

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.