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Finding the Third Proportional to 536,432 and 1,169,056

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Solution

The third proportional to 536,432 and 1,169,056 is: 2,547,744.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,432 : 1,169,056 = 1,169,056 : x
  2. Step 2: Convert to fraction form
    536,432/1,169,056 = 1,169,056/x
  3. Step 3: Cross multiply
    536,432x = 1,169,056 × 1,169,056
  4. Step 4: Simplify right side
    536,432x = 1,366,691,931,136
  5. Step 5: Solve for x
    x = 1,366,691,931,136/536,432
  6. Step 6: Final answer
    x = 2,547,744.97

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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.