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Finding the Third Proportional to 426,878 and 931,030

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Solution

The third proportional to 426,878 and 931,030 is: 2,030,596.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,878 : 931,030 = 931,030 : x
  2. Step 2: Convert to fraction form
    426,878/931,030 = 931,030/x
  3. Step 3: Cross multiply
    426,878x = 931,030 × 931,030
  4. Step 4: Simplify right side
    426,878x = 866,816,860,900
  5. Step 5: Solve for x
    x = 866,816,860,900/426,878
  6. Step 6: Final answer
    x = 2,030,596.24

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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.