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Finding the Third Proportional to 228,000,386 and 478,395,652

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Solution

The third proportional to 228,000,386 and 478,395,652 is: 1,003,780,756.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,000,386 : 478,395,652 = 478,395,652 : x
  2. Step 2: Convert to fraction form
    228,000,386/478,395,652 = 478,395,652/x
  3. Step 3: Cross multiply
    228,000,386x = 478,395,652 × 478,395,652
  4. Step 4: Simplify right side
    228,000,386x = 228,862,399,852,505,088
  5. Step 5: Solve for x
    x = 228,862,399,852,505,088/228,000,386
  6. Step 6: Final answer
    x = 1,003,780,756.11

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.