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Finding the Third Proportional to 556,167,406 and 841,409,160

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Solution

The third proportional to 556,167,406 and 841,409,160 is: 1,272,942,942.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,167,406 : 841,409,160 = 841,409,160 : x
  2. Step 2: Convert to fraction form
    556,167,406/841,409,160 = 841,409,160/x
  3. Step 3: Cross multiply
    556,167,406x = 841,409,160 × 841,409,160
  4. Step 4: Simplify right side
    556,167,406x = 707,969,374,531,905,536
  5. Step 5: Solve for x
    x = 707,969,374,531,905,536/556,167,406
  6. Step 6: Final answer
    x = 1,272,942,942.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.