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Finding the Third Proportional to 2,935,970 and 4,537,539

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Solution

The third proportional to 2,935,970 and 4,537,539 is: 7,012,762.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935,970 : 4,537,539 = 4,537,539 : x
  2. Step 2: Convert to fraction form
    2,935,970/4,537,539 = 4,537,539/x
  3. Step 3: Cross multiply
    2,935,970x = 4,537,539 × 4,537,539
  4. Step 4: Simplify right side
    2,935,970x = 20,589,260,176,521
  5. Step 5: Solve for x
    x = 20,589,260,176,521/2,935,970
  6. Step 6: Final answer
    x = 7,012,762.45

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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.