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Finding the Third Proportional to 672,027,470 and 1,054,212,717

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Solution

The third proportional to 672,027,470 and 1,054,212,717 is: 1,653,748,547.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,027,470 : 1,054,212,717 = 1,054,212,717 : x
  2. Step 2: Convert to fraction form
    672,027,470/1,054,212,717 = 1,054,212,717/x
  3. Step 3: Cross multiply
    672,027,470x = 1,054,212,717 × 1,054,212,717
  4. Step 4: Simplify right side
    672,027,470x = 1,111,364,452,684,522,112
  5. Step 5: Solve for x
    x = 1,111,364,452,684,522,112/672,027,470
  6. Step 6: Final answer
    x = 1,653,748,547.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.