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Finding the Third Proportional to 1,009,706 and 2,159,476

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Solution

The third proportional to 1,009,706 and 2,159,476 is: 4,618,509.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009,706 : 2,159,476 = 2,159,476 : x
  2. Step 2: Convert to fraction form
    1,009,706/2,159,476 = 2,159,476/x
  3. Step 3: Cross multiply
    1,009,706x = 2,159,476 × 2,159,476
  4. Step 4: Simplify right side
    1,009,706x = 4,663,336,594,576
  5. Step 5: Solve for x
    x = 4,663,336,594,576/1,009,706
  6. Step 6: Final answer
    x = 4,618,509.34

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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.