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Finding the Third Proportional to 786,797,376 and 1,154,686,800

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Solution

The third proportional to 786,797,376 and 1,154,686,800 is: 1,694,593,356.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,797,376 : 1,154,686,800 = 1,154,686,800 : x
  2. Step 2: Convert to fraction form
    786,797,376/1,154,686,800 = 1,154,686,800/x
  3. Step 3: Cross multiply
    786,797,376x = 1,154,686,800 × 1,154,686,800
  4. Step 4: Simplify right side
    786,797,376x = 1,333,301,606,094,240,000
  5. Step 5: Solve for x
    x = 1,333,301,606,094,240,000/786,797,376
  6. Step 6: Final answer
    x = 1,694,593,356.26

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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.