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Finding the Third Proportional to 1,020,638 and 1,501,429

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Solution

The third proportional to 1,020,638 and 1,501,429 is: 2,208,705.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020,638 : 1,501,429 = 1,501,429 : x
  2. Step 2: Convert to fraction form
    1,020,638/1,501,429 = 1,501,429/x
  3. Step 3: Cross multiply
    1,020,638x = 1,501,429 × 1,501,429
  4. Step 4: Simplify right side
    1,020,638x = 2,254,289,042,041
  5. Step 5: Solve for x
    x = 2,254,289,042,041/1,020,638
  6. Step 6: Final answer
    x = 2,208,705.77

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.