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Finding the Third Proportional to 4,219,564 and 6,537,840

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Solution

The third proportional to 4,219,564 and 6,537,840 is: 10,129,802.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219,564 : 6,537,840 = 6,537,840 : x
  2. Step 2: Convert to fraction form
    4,219,564/6,537,840 = 6,537,840/x
  3. Step 3: Cross multiply
    4,219,564x = 6,537,840 × 6,537,840
  4. Step 4: Simplify right side
    4,219,564x = 42,743,351,865,600
  5. Step 5: Solve for x
    x = 42,743,351,865,600/4,219,564
  6. Step 6: Final answer
    x = 10,129,802.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.