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Finding the Third Proportional to 520,095,420 and 713,177,190

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Solution

The third proportional to 520,095,420 and 713,177,190 is: 977,939,210.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,095,420 : 713,177,190 = 713,177,190 : x
  2. Step 2: Convert to fraction form
    520,095,420/713,177,190 = 713,177,190/x
  3. Step 3: Cross multiply
    520,095,420x = 713,177,190 × 713,177,190
  4. Step 4: Simplify right side
    520,095,420x = 508,621,704,336,296,128
  5. Step 5: Solve for x
    x = 508,621,704,336,296,128/520,095,420
  6. Step 6: Final answer
    x = 977,939,210.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.