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Finding the Third Proportional to 529,511,535 and 1,154,364,935

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Solution

The third proportional to 529,511,535 and 1,154,364,935 is: 2,516,580,499.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,511,535 : 1,154,364,935 = 1,154,364,935 : x
  2. Step 2: Convert to fraction form
    529,511,535/1,154,364,935 = 1,154,364,935/x
  3. Step 3: Cross multiply
    529,511,535x = 1,154,364,935 × 1,154,364,935
  4. Step 4: Simplify right side
    529,511,535x = 1,332,558,403,157,554,176
  5. Step 5: Solve for x
    x = 1,332,558,403,157,554,176/529,511,535
  6. Step 6: Final answer
    x = 2,516,580,499.34

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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.