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Finding the Third Proportional to 896,059,270 and 1,405,651,323

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Solution

The third proportional to 896,059,270 and 1,405,651,323 is: 2,205,050,165.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,059,270 : 1,405,651,323 = 1,405,651,323 : x
  2. Step 2: Convert to fraction form
    896,059,270/1,405,651,323 = 1,405,651,323/x
  3. Step 3: Cross multiply
    896,059,270x = 1,405,651,323 × 1,405,651,323
  4. Step 4: Simplify right side
    896,059,270x = 1,975,855,641,851,650,304
  5. Step 5: Solve for x
    x = 1,975,855,641,851,650,304/896,059,270
  6. Step 6: Final answer
    x = 2,205,050,165.77

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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.