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Finding the Third Proportional to 935,184 and 2,045,364

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Solution

The third proportional to 935,184 and 2,045,364 is: 4,473,466.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,184 : 2,045,364 = 2,045,364 : x
  2. Step 2: Convert to fraction form
    935,184/2,045,364 = 2,045,364/x
  3. Step 3: Cross multiply
    935,184x = 2,045,364 × 2,045,364
  4. Step 4: Simplify right side
    935,184x = 4,183,513,892,496
  5. Step 5: Solve for x
    x = 4,183,513,892,496/935,184
  6. Step 6: Final answer
    x = 4,473,466.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.