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Finding the Third Proportional to 1,161,285,433 and 1,720,159,363

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Solution

The third proportional to 1,161,285,433 and 1,720,159,363 is: 2,547,993,929.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161,285,433 : 1,720,159,363 = 1,720,159,363 : x
  2. Step 2: Convert to fraction form
    1,161,285,433/1,720,159,363 = 1,720,159,363/x
  3. Step 3: Cross multiply
    1,161,285,433x = 1,720,159,363 × 1,720,159,363
  4. Step 4: Simplify right side
    1,161,285,433x = 2,958,948,234,116,566,016
  5. Step 5: Solve for x
    x = 2,958,948,234,116,566,016/1,161,285,433
  6. Step 6: Final answer
    x = 2,547,993,929.86

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.