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Finding the Third Proportional to 909,461 and 1,980,384

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Solution

The third proportional to 909,461 and 1,980,384 is: 4,312,357.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,461 : 1,980,384 = 1,980,384 : x
  2. Step 2: Convert to fraction form
    909,461/1,980,384 = 1,980,384/x
  3. Step 3: Cross multiply
    909,461x = 1,980,384 × 1,980,384
  4. Step 4: Simplify right side
    909,461x = 3,921,920,787,456
  5. Step 5: Solve for x
    x = 3,921,920,787,456/909,461
  6. Step 6: Final answer
    x = 4,312,357.31

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Why These Related Problems?

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