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Finding the Third Proportional to 1,045,283 and 2,216,164

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Solution

The third proportional to 1,045,283 and 2,216,164 is: 4,698,615.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045,283 : 2,216,164 = 2,216,164 : x
  2. Step 2: Convert to fraction form
    1,045,283/2,216,164 = 2,216,164/x
  3. Step 3: Cross multiply
    1,045,283x = 2,216,164 × 2,216,164
  4. Step 4: Simplify right side
    1,045,283x = 4,911,382,874,896
  5. Step 5: Solve for x
    x = 4,911,382,874,896/1,045,283
  6. Step 6: Final answer
    x = 4,698,615.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.