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Finding the Third Proportional to 905,312 and 1,966,319

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Solution

The third proportional to 905,312 and 1,966,319 is: 4,270,804.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,312 : 1,966,319 = 1,966,319 : x
  2. Step 2: Convert to fraction form
    905,312/1,966,319 = 1,966,319/x
  3. Step 3: Cross multiply
    905,312x = 1,966,319 × 1,966,319
  4. Step 4: Simplify right side
    905,312x = 3,866,410,409,761
  5. Step 5: Solve for x
    x = 3,866,410,409,761/905,312
  6. Step 6: Final answer
    x = 4,270,804.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.