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Finding the Third Proportional to 2,030,924 and 4,411,970

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Solution

The third proportional to 2,030,924 and 4,411,970 is: 9,584,543.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030,924 : 4,411,970 = 4,411,970 : x
  2. Step 2: Convert to fraction form
    2,030,924/4,411,970 = 4,411,970/x
  3. Step 3: Cross multiply
    2,030,924x = 4,411,970 × 4,411,970
  4. Step 4: Simplify right side
    2,030,924x = 19,465,479,280,900
  5. Step 5: Solve for x
    x = 19,465,479,280,900/2,030,924
  6. Step 6: Final answer
    x = 9,584,543.43

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.