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Finding the Third Proportional to 507,827,810 and 715,133,460

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Solution

The third proportional to 507,827,810 and 715,133,460 is: 1,007,065,496.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,827,810 : 715,133,460 = 715,133,460 : x
  2. Step 2: Convert to fraction form
    507,827,810/715,133,460 = 715,133,460/x
  3. Step 3: Cross multiply
    507,827,810x = 715,133,460 × 715,133,460
  4. Step 4: Simplify right side
    507,827,810x = 511,415,865,611,571,584
  5. Step 5: Solve for x
    x = 511,415,865,611,571,584/507,827,810
  6. Step 6: Final answer
    x = 1,007,065,496.49

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.