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Finding the Third Proportional to 426,476 and 912,001

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Solution

The third proportional to 426,476 and 912,001 is: 1,950,275.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,476 : 912,001 = 912,001 : x
  2. Step 2: Convert to fraction form
    426,476/912,001 = 912,001/x
  3. Step 3: Cross multiply
    426,476x = 912,001 × 912,001
  4. Step 4: Simplify right side
    426,476x = 831,745,824,001
  5. Step 5: Solve for x
    x = 831,745,824,001/426,476
  6. Step 6: Final answer
    x = 1,950,275.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.