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Finding the Third Proportional to 2,038,260 and 4,442,746.25

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Solution

The third proportional to 2,038,260 and 4,442,746.25 is: 9,683,747.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038,260 : 4,442,746.25 = 4,442,746.25 : x
  2. Step 2: Convert to fraction form
    2,038,260/4,442,746.25 = 4,442,746.25/x
  3. Step 3: Cross multiply
    2,038,260x = 4,442,746.25 × 4,442,746.25
  4. Step 4: Simplify right side
    2,038,260x = 19,737,994,241,889.06
  5. Step 5: Solve for x
    x = 19,737,994,241,889.06/2,038,260
  6. Step 6: Final answer
    x = 9,683,747.04

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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.