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Finding the Third Proportional to 598,826,217 and 1,310,537,580

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Solution

The third proportional to 598,826,217 and 1,310,537,580 is: 2,868,125,509.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,826,217 : 1,310,537,580 = 1,310,537,580 : x
  2. Step 2: Convert to fraction form
    598,826,217/1,310,537,580 = 1,310,537,580/x
  3. Step 3: Cross multiply
    598,826,217x = 1,310,537,580 × 1,310,537,580
  4. Step 4: Simplify right side
    598,826,217x = 1,717,508,748,592,256,512
  5. Step 5: Solve for x
    x = 1,717,508,748,592,256,512/598,826,217
  6. Step 6: Final answer
    x = 2,868,125,509.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.