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Finding the Third Proportional to 274,720,620 and 598,835,994

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Solution

The third proportional to 274,720,620 and 598,835,994 is: 1,305,342,670.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,720,620 : 598,835,994 = 598,835,994 : x
  2. Step 2: Convert to fraction form
    274,720,620/598,835,994 = 598,835,994/x
  3. Step 3: Cross multiply
    274,720,620x = 598,835,994 × 598,835,994
  4. Step 4: Simplify right side
    274,720,620x = 358,604,547,709,968,064
  5. Step 5: Solve for x
    x = 358,604,547,709,968,064/274,720,620
  6. Step 6: Final answer
    x = 1,305,342,670.35

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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.