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Finding the Third Proportional to 1,025,356,196 and 1,588,698,174

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Solution

The third proportional to 1,025,356,196 and 1,588,698,174 is: 2,461,546,434.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,356,196 : 1,588,698,174 = 1,588,698,174 : x
  2. Step 2: Convert to fraction form
    1,025,356,196/1,588,698,174 = 1,588,698,174/x
  3. Step 3: Cross multiply
    1,025,356,196x = 1,588,698,174 × 1,588,698,174
  4. Step 4: Simplify right side
    1,025,356,196x = 2,523,961,888,070,934,528
  5. Step 5: Solve for x
    x = 2,523,961,888,070,934,528/1,025,356,196
  6. Step 6: Final answer
    x = 2,461,546,434.22

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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.