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Finding the Third Proportional to 554,430 and 1,209,096

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Solution

The third proportional to 554,430 and 1,209,096 is: 2,636,785.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,430 : 1,209,096 = 1,209,096 : x
  2. Step 2: Convert to fraction form
    554,430/1,209,096 = 1,209,096/x
  3. Step 3: Cross multiply
    554,430x = 1,209,096 × 1,209,096
  4. Step 4: Simplify right side
    554,430x = 1,461,913,137,216
  5. Step 5: Solve for x
    x = 1,461,913,137,216/554,430
  6. Step 6: Final answer
    x = 2,636,785.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.