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Finding the Third Proportional to 501,868,696 and 1,087,114,580

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Solution

The third proportional to 501,868,696 and 1,087,114,580 is: 2,354,835,277.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,868,696 : 1,087,114,580 = 1,087,114,580 : x
  2. Step 2: Convert to fraction form
    501,868,696/1,087,114,580 = 1,087,114,580/x
  3. Step 3: Cross multiply
    501,868,696x = 1,087,114,580 × 1,087,114,580
  4. Step 4: Simplify right side
    501,868,696x = 1,181,818,110,048,576,512
  5. Step 5: Solve for x
    x = 1,181,818,110,048,576,512/501,868,696
  6. Step 6: Final answer
    x = 2,354,835,277.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.