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Finding the Third Proportional to 514,130,988 and 783,243,234

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Solution

The third proportional to 514,130,988 and 783,243,234 is: 1,193,217,249.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,130,988 : 783,243,234 = 783,243,234 : x
  2. Step 2: Convert to fraction form
    514,130,988/783,243,234 = 783,243,234/x
  3. Step 3: Cross multiply
    514,130,988x = 783,243,234 × 783,243,234
  4. Step 4: Simplify right side
    514,130,988x = 613,469,963,606,778,752
  5. Step 5: Solve for x
    x = 613,469,963,606,778,752/514,130,988
  6. Step 6: Final answer
    x = 1,193,217,249.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.