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Finding the Third Proportional to 584,854 and 1,256,702

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Solution

The third proportional to 584,854 and 1,256,702 is: 2,700,331.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,854 : 1,256,702 = 1,256,702 : x
  2. Step 2: Convert to fraction form
    584,854/1,256,702 = 1,256,702/x
  3. Step 3: Cross multiply
    584,854x = 1,256,702 × 1,256,702
  4. Step 4: Simplify right side
    584,854x = 1,579,299,916,804
  5. Step 5: Solve for x
    x = 1,579,299,916,804/584,854
  6. Step 6: Final answer
    x = 2,700,331.91

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.