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Finding the Third Proportional to 822,184,246 and 1,210,566,560

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Solution

The third proportional to 822,184,246 and 1,210,566,560 is: 1,782,412,401.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,184,246 : 1,210,566,560 = 1,210,566,560 : x
  2. Step 2: Convert to fraction form
    822,184,246/1,210,566,560 = 1,210,566,560/x
  3. Step 3: Cross multiply
    822,184,246x = 1,210,566,560 × 1,210,566,560
  4. Step 4: Simplify right side
    822,184,246x = 1,465,471,396,190,233,600
  5. Step 5: Solve for x
    x = 1,465,471,396,190,233,600/822,184,246
  6. Step 6: Final answer
    x = 1,782,412,401.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.