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Finding the Third Proportional to 375,894 and 846,423

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Solution

The third proportional to 375,894 and 846,423 is: 1,905,941.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,894 : 846,423 = 846,423 : x
  2. Step 2: Convert to fraction form
    375,894/846,423 = 846,423/x
  3. Step 3: Cross multiply
    375,894x = 846,423 × 846,423
  4. Step 4: Simplify right side
    375,894x = 716,431,894,929
  5. Step 5: Solve for x
    x = 716,431,894,929/375,894
  6. Step 6: Final answer
    x = 1,905,941.29

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.