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Finding the Third Proportional to 435,521 and 910,943

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Solution

The third proportional to 435,521 and 910,943 is: 1,905,343.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,521 : 910,943 = 910,943 : x
  2. Step 2: Convert to fraction form
    435,521/910,943 = 910,943/x
  3. Step 3: Cross multiply
    435,521x = 910,943 × 910,943
  4. Step 4: Simplify right side
    435,521x = 829,817,149,249
  5. Step 5: Solve for x
    x = 829,817,149,249/435,521
  6. Step 6: Final answer
    x = 1,905,343.60

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.