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Finding the Third Proportional to 926,896 and 2,030,952

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Solution

The third proportional to 926,896 and 2,030,952 is: 4,450,085.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    926,896 : 2,030,952 = 2,030,952 : x
  2. Step 2: Convert to fraction form
    926,896/2,030,952 = 2,030,952/x
  3. Step 3: Cross multiply
    926,896x = 2,030,952 × 2,030,952
  4. Step 4: Simplify right side
    926,896x = 4,124,766,026,304
  5. Step 5: Solve for x
    x = 4,124,766,026,304/926,896
  6. Step 6: Final answer
    x = 4,450,085.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.