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Finding the Third Proportional to 826,603,415 and 1,784,701,470

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Solution

The third proportional to 826,603,415 and 1,784,701,470 is: 3,853,310,159.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,603,415 : 1,784,701,470 = 1,784,701,470 : x
  2. Step 2: Convert to fraction form
    826,603,415/1,784,701,470 = 1,784,701,470/x
  3. Step 3: Cross multiply
    826,603,415x = 1,784,701,470 × 1,784,701,470
  4. Step 4: Simplify right side
    826,603,415x = 3,185,159,337,020,161,024
  5. Step 5: Solve for x
    x = 3,185,159,337,020,161,024/826,603,415
  6. Step 6: Final answer
    x = 3,853,310,159.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.