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Finding the Third Proportional to 450,070 and 962,348

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Solution

The third proportional to 450,070 and 962,348 is: 2,057,710.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,070 : 962,348 = 962,348 : x
  2. Step 2: Convert to fraction form
    450,070/962,348 = 962,348/x
  3. Step 3: Cross multiply
    450,070x = 962,348 × 962,348
  4. Step 4: Simplify right side
    450,070x = 926,113,673,104
  5. Step 5: Solve for x
    x = 926,113,673,104/450,070
  6. Step 6: Final answer
    x = 2,057,710.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.