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Finding the Third Proportional to 585,122,438 and 1,258,303,756

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Solution

The third proportional to 585,122,438 and 1,258,303,756 is: 2,705,977,825.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,122,438 : 1,258,303,756 = 1,258,303,756 : x
  2. Step 2: Convert to fraction form
    585,122,438/1,258,303,756 = 1,258,303,756/x
  3. Step 3: Cross multiply
    585,122,438x = 1,258,303,756 × 1,258,303,756
  4. Step 4: Simplify right side
    585,122,438x = 1,583,328,342,363,707,648
  5. Step 5: Solve for x
    x = 1,583,328,342,363,707,648/585,122,438
  6. Step 6: Final answer
    x = 2,705,977,825.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.