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Finding the Third Proportional to 556,167,419 and 841,409,178

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Solution

The third proportional to 556,167,419 and 841,409,178 is: 1,272,942,967.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,167,419 : 841,409,178 = 841,409,178 : x
  2. Step 2: Convert to fraction form
    556,167,419/841,409,178 = 841,409,178/x
  3. Step 3: Cross multiply
    556,167,419x = 841,409,178 × 841,409,178
  4. Step 4: Simplify right side
    556,167,419x = 707,969,404,822,635,648
  5. Step 5: Solve for x
    x = 707,969,404,822,635,648/556,167,419
  6. Step 6: Final answer
    x = 1,272,942,967.60

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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.