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Finding the Third Proportional to 786,510 and 1,675,971

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Solution

The third proportional to 786,510 and 1,675,971 is: 3,571,319.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,510 : 1,675,971 = 1,675,971 : x
  2. Step 2: Convert to fraction form
    786,510/1,675,971 = 1,675,971/x
  3. Step 3: Cross multiply
    786,510x = 1,675,971 × 1,675,971
  4. Step 4: Simplify right side
    786,510x = 2,808,878,792,841
  5. Step 5: Solve for x
    x = 2,808,878,792,841/786,510
  6. Step 6: Final answer
    x = 3,571,319.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.