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Finding the Third Proportional to 1,460,594 and 3,138,484

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Solution

The third proportional to 1,460,594 and 3,138,484 is: 6,743,887.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460,594 : 3,138,484 = 3,138,484 : x
  2. Step 2: Convert to fraction form
    1,460,594/3,138,484 = 3,138,484/x
  3. Step 3: Cross multiply
    1,460,594x = 3,138,484 × 3,138,484
  4. Step 4: Simplify right side
    1,460,594x = 9,850,081,818,256
  5. Step 5: Solve for x
    x = 9,850,081,818,256/1,460,594
  6. Step 6: Final answer
    x = 6,743,887.64

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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.