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Finding the Third Proportional to 1,010,643 and 1,486,407

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Solution

The third proportional to 1,010,643 and 1,486,407 is: 2,186,138.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,643 : 1,486,407 = 1,486,407 : x
  2. Step 2: Convert to fraction form
    1,010,643/1,486,407 = 1,486,407/x
  3. Step 3: Cross multiply
    1,010,643x = 1,486,407 × 1,486,407
  4. Step 4: Simplify right side
    1,010,643x = 2,209,405,769,649
  5. Step 5: Solve for x
    x = 2,209,405,769,649/1,010,643
  6. Step 6: Final answer
    x = 2,186,138.70

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.