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Finding the Third Proportional to 819,346,840 and 1,197,913,728

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Solution

The third proportional to 819,346,840 and 1,197,913,728 is: 1,751,391,754.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,346,840 : 1,197,913,728 = 1,197,913,728 : x
  2. Step 2: Convert to fraction form
    819,346,840/1,197,913,728 = 1,197,913,728/x
  3. Step 3: Cross multiply
    819,346,840x = 1,197,913,728 × 1,197,913,728
  4. Step 4: Simplify right side
    819,346,840x = 1,434,997,299,730,857,984
  5. Step 5: Solve for x
    x = 1,434,997,299,730,857,984/819,346,840
  6. Step 6: Final answer
    x = 1,751,391,754.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.