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Finding the Third Proportional to 426,429 and 883,050

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Solution

The third proportional to 426,429 and 883,050 is: 1,828,621.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,429 : 883,050 = 883,050 : x
  2. Step 2: Convert to fraction form
    426,429/883,050 = 883,050/x
  3. Step 3: Cross multiply
    426,429x = 883,050 × 883,050
  4. Step 4: Simplify right side
    426,429x = 779,777,302,500
  5. Step 5: Solve for x
    x = 779,777,302,500/426,429
  6. Step 6: Final answer
    x = 1,828,621.65

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.