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Finding the Third Proportional to 584,844 and 1,256,712

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Solution

The third proportional to 584,844 and 1,256,712 is: 2,700,421.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,844 : 1,256,712 = 1,256,712 : x
  2. Step 2: Convert to fraction form
    584,844/1,256,712 = 1,256,712/x
  3. Step 3: Cross multiply
    584,844x = 1,256,712 × 1,256,712
  4. Step 4: Simplify right side
    584,844x = 1,579,325,050,944
  5. Step 5: Solve for x
    x = 1,579,325,050,944/584,844
  6. Step 6: Final answer
    x = 2,700,421.05

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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.