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Finding the Third Proportional to 410,402 and 896,068

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Solution

The third proportional to 410,402 and 896,068 is: 1,956,466.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,402 : 896,068 = 896,068 : x
  2. Step 2: Convert to fraction form
    410,402/896,068 = 896,068/x
  3. Step 3: Cross multiply
    410,402x = 896,068 × 896,068
  4. Step 4: Simplify right side
    410,402x = 802,937,860,624
  5. Step 5: Solve for x
    x = 802,937,860,624/410,402
  6. Step 6: Final answer
    x = 1,956,466.73

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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.