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Finding the Third Proportional to 584,837,528 and 1,284,452,272

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Solution

The third proportional to 584,837,528 and 1,284,452,272 is: 2,820,984,564.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,837,528 : 1,284,452,272 = 1,284,452,272 : x
  2. Step 2: Convert to fraction form
    584,837,528/1,284,452,272 = 1,284,452,272/x
  3. Step 3: Cross multiply
    584,837,528x = 1,284,452,272 × 1,284,452,272
  4. Step 4: Simplify right side
    584,837,528x = 1,649,817,639,045,961,984
  5. Step 5: Solve for x
    x = 1,649,817,639,045,961,984/584,837,528
  6. Step 6: Final answer
    x = 2,820,984,564.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.