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Finding the Third Proportional to 693,486,326 and 1,046,108,160

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Solution

The third proportional to 693,486,326 and 1,046,108,160 is: 1,578,030,079.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,486,326 : 1,046,108,160 = 1,046,108,160 : x
  2. Step 2: Convert to fraction form
    693,486,326/1,046,108,160 = 1,046,108,160/x
  3. Step 3: Cross multiply
    693,486,326x = 1,046,108,160 × 1,046,108,160
  4. Step 4: Simplify right side
    693,486,326x = 1,094,342,282,418,585,600
  5. Step 5: Solve for x
    x = 1,094,342,282,418,585,600/693,486,326
  6. Step 6: Final answer
    x = 1,578,030,079.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.