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Finding the Third Proportional to 646,400,790 and 1,002,947,466

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Solution

The third proportional to 646,400,790 and 1,002,947,466 is: 1,556,160,875.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,400,790 : 1,002,947,466 = 1,002,947,466 : x
  2. Step 2: Convert to fraction form
    646,400,790/1,002,947,466 = 1,002,947,466/x
  3. Step 3: Cross multiply
    646,400,790x = 1,002,947,466 × 1,002,947,466
  4. Step 4: Simplify right side
    646,400,790x = 1,005,903,619,555,821,184
  5. Step 5: Solve for x
    x = 1,005,903,619,555,821,184/646,400,790
  6. Step 6: Final answer
    x = 1,556,160,875.91

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.