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Finding the Third Proportional to 996,530 and 1,547,303

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Solution

The third proportional to 996,530 and 1,547,303 is: 2,402,483.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,530 : 1,547,303 = 1,547,303 : x
  2. Step 2: Convert to fraction form
    996,530/1,547,303 = 1,547,303/x
  3. Step 3: Cross multiply
    996,530x = 1,547,303 × 1,547,303
  4. Step 4: Simplify right side
    996,530x = 2,394,146,573,809
  5. Step 5: Solve for x
    x = 2,394,146,573,809/996,530
  6. Step 6: Final answer
    x = 2,402,483.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.