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Finding the Third Proportional to 1,048,191,316 and 1,644,160,541

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Solution

The third proportional to 1,048,191,316 and 1,644,160,541 is: 2,578,979,469.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048,191,316 : 1,644,160,541 = 1,644,160,541 : x
  2. Step 2: Convert to fraction form
    1,048,191,316/1,644,160,541 = 1,644,160,541/x
  3. Step 3: Cross multiply
    1,048,191,316x = 1,644,160,541 × 1,644,160,541
  4. Step 4: Simplify right side
    1,048,191,316x = 2,703,263,884,581,412,864
  5. Step 5: Solve for x
    x = 2,703,263,884,581,412,864/1,048,191,316
  6. Step 6: Final answer
    x = 2,578,979,469.99

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.