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Finding the Third Proportional to 490,547 and 1,052,023

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Solution

The third proportional to 490,547 and 1,052,023 is: 2,256,159.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,547 : 1,052,023 = 1,052,023 : x
  2. Step 2: Convert to fraction form
    490,547/1,052,023 = 1,052,023/x
  3. Step 3: Cross multiply
    490,547x = 1,052,023 × 1,052,023
  4. Step 4: Simplify right side
    490,547x = 1,106,752,392,529
  5. Step 5: Solve for x
    x = 1,106,752,392,529/490,547
  6. Step 6: Final answer
    x = 2,256,159.74

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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.