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Finding the Third Proportional to 1,287,072 and 1,746,030

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Solution

The third proportional to 1,287,072 and 1,746,030 is: 2,368,648.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287,072 : 1,746,030 = 1,746,030 : x
  2. Step 2: Convert to fraction form
    1,287,072/1,746,030 = 1,746,030/x
  3. Step 3: Cross multiply
    1,287,072x = 1,746,030 × 1,746,030
  4. Step 4: Simplify right side
    1,287,072x = 3,048,620,760,900
  5. Step 5: Solve for x
    x = 3,048,620,760,900/1,287,072
  6. Step 6: Final answer
    x = 2,368,648.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.