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Finding the Third Proportional to 602,633 and 1,297,516

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Solution

The third proportional to 602,633 and 1,297,516 is: 2,793,653.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,633 : 1,297,516 = 1,297,516 : x
  2. Step 2: Convert to fraction form
    602,633/1,297,516 = 1,297,516/x
  3. Step 3: Cross multiply
    602,633x = 1,297,516 × 1,297,516
  4. Step 4: Simplify right side
    602,633x = 1,683,547,770,256
  5. Step 5: Solve for x
    x = 1,683,547,770,256/602,633
  6. Step 6: Final answer
    x = 2,793,653.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.