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Finding the Third Proportional to 539,078,716 and 828,090,852

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Solution

The third proportional to 539,078,716 and 828,090,852 is: 1,272,048,847.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,078,716 : 828,090,852 = 828,090,852 : x
  2. Step 2: Convert to fraction form
    539,078,716/828,090,852 = 828,090,852/x
  3. Step 3: Cross multiply
    539,078,716x = 828,090,852 × 828,090,852
  4. Step 4: Simplify right side
    539,078,716x = 685,734,459,166,085,888
  5. Step 5: Solve for x
    x = 685,734,459,166,085,888/539,078,716
  6. Step 6: Final answer
    x = 1,272,048,847.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.