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Finding the Third Proportional to 706,015,386 and 1,539,153,258

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Solution

The third proportional to 706,015,386 and 1,539,153,258 is: 3,355,440,686.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,015,386 : 1,539,153,258 = 1,539,153,258 : x
  2. Step 2: Convert to fraction form
    706,015,386/1,539,153,258 = 1,539,153,258/x
  3. Step 3: Cross multiply
    706,015,386x = 1,539,153,258 × 1,539,153,258
  4. Step 4: Simplify right side
    706,015,386x = 2,368,992,751,612,014,592
  5. Step 5: Solve for x
    x = 2,368,992,751,612,014,592/706,015,386
  6. Step 6: Final answer
    x = 3,355,440,686.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.