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Finding the Third Proportional to 996,490 and 1,547,233

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Solution

The third proportional to 996,490 and 1,547,233 is: 2,402,362.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,490 : 1,547,233 = 1,547,233 : x
  2. Step 2: Convert to fraction form
    996,490/1,547,233 = 1,547,233/x
  3. Step 3: Cross multiply
    996,490x = 1,547,233 × 1,547,233
  4. Step 4: Simplify right side
    996,490x = 2,393,929,956,289
  5. Step 5: Solve for x
    x = 2,393,929,956,289/996,490
  6. Step 6: Final answer
    x = 2,402,362.25

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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.