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Finding the Third Proportional to 646,938,938 and 925,130,217

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Solution

The third proportional to 646,938,938 and 925,130,217 is: 1,322,946,986.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,938,938 : 925,130,217 = 925,130,217 : x
  2. Step 2: Convert to fraction form
    646,938,938/925,130,217 = 925,130,217/x
  3. Step 3: Cross multiply
    646,938,938x = 925,130,217 × 925,130,217
  4. Step 4: Simplify right side
    646,938,938x = 855,865,918,406,467,072
  5. Step 5: Solve for x
    x = 855,865,918,406,467,072/646,938,938
  6. Step 6: Final answer
    x = 1,322,946,986.39

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.