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Finding the Third Proportional to 1,025,356,192 and 1,588,698,168

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Solution

The third proportional to 1,025,356,192 and 1,588,698,168 is: 2,461,546,425.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,356,192 : 1,588,698,168 = 1,588,698,168 : x
  2. Step 2: Convert to fraction form
    1,025,356,192/1,588,698,168 = 1,588,698,168/x
  3. Step 3: Cross multiply
    1,025,356,192x = 1,588,698,168 × 1,588,698,168
  4. Step 4: Simplify right side
    1,025,356,192x = 2,523,961,869,006,556,160
  5. Step 5: Solve for x
    x = 2,523,961,869,006,556,160/1,025,356,192
  6. Step 6: Final answer
    x = 2,461,546,425.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.