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Finding the Third Proportional to 897,481,455 and 1,341,275,673

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Solution

The third proportional to 897,481,455 and 1,341,275,673 is: 2,004,521,008.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,481,455 : 1,341,275,673 = 1,341,275,673 : x
  2. Step 2: Convert to fraction form
    897,481,455/1,341,275,673 = 1,341,275,673/x
  3. Step 3: Cross multiply
    897,481,455x = 1,341,275,673 × 1,341,275,673
  4. Step 4: Simplify right side
    897,481,455x = 1,799,020,430,981,602,816
  5. Step 5: Solve for x
    x = 1,799,020,430,981,602,816/897,481,455
  6. Step 6: Final answer
    x = 2,004,521,008.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.