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Finding the Third Proportional to 646,985 and 1,407,334

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Solution

The third proportional to 646,985 and 1,407,334 is: 3,061,259.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,985 : 1,407,334 = 1,407,334 : x
  2. Step 2: Convert to fraction form
    646,985/1,407,334 = 1,407,334/x
  3. Step 3: Cross multiply
    646,985x = 1,407,334 × 1,407,334
  4. Step 4: Simplify right side
    646,985x = 1,980,588,987,556
  5. Step 5: Solve for x
    x = 1,980,588,987,556/646,985
  6. Step 6: Final answer
    x = 3,061,259.52

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.