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Finding the Third Proportional to 469,514,360 and 1,029,727,984

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Solution

The third proportional to 469,514,360 and 1,029,727,984 is: 2,258,375,486.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,514,360 : 1,029,727,984 = 1,029,727,984 : x
  2. Step 2: Convert to fraction form
    469,514,360/1,029,727,984 = 1,029,727,984/x
  3. Step 3: Cross multiply
    469,514,360x = 1,029,727,984 × 1,029,727,984
  4. Step 4: Simplify right side
    469,514,360x = 1,060,339,721,032,704,256
  5. Step 5: Solve for x
    x = 1,060,339,721,032,704,256/469,514,360
  6. Step 6: Final answer
    x = 2,258,375,486.18

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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.