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Finding the Third Proportional to 1,475,052 and 2,270,490

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Solution

The third proportional to 1,475,052 and 2,270,490 is: 3,494,876.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475,052 : 2,270,490 = 2,270,490 : x
  2. Step 2: Convert to fraction form
    1,475,052/2,270,490 = 2,270,490/x
  3. Step 3: Cross multiply
    1,475,052x = 2,270,490 × 2,270,490
  4. Step 4: Simplify right side
    1,475,052x = 5,155,124,840,100
  5. Step 5: Solve for x
    x = 5,155,124,840,100/1,475,052
  6. Step 6: Final answer
    x = 3,494,876.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.