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Finding the Third Proportional to 4,282,752 and 6,460,416

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Solution

The third proportional to 4,282,752 and 6,460,416 is: 9,745,363.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,282,752 : 6,460,416 = 6,460,416 : x
  2. Step 2: Convert to fraction form
    4,282,752/6,460,416 = 6,460,416/x
  3. Step 3: Cross multiply
    4,282,752x = 6,460,416 × 6,460,416
  4. Step 4: Simplify right side
    4,282,752x = 41,736,974,893,056
  5. Step 5: Solve for x
    x = 41,736,974,893,056/4,282,752
  6. Step 6: Final answer
    x = 9,745,363.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.