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Finding the Third Proportional to 802,493,298 and 1,130,087,402

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Solution

The third proportional to 802,493,298 and 1,130,087,402 is: 1,591,412,089.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,493,298 : 1,130,087,402 = 1,130,087,402 : x
  2. Step 2: Convert to fraction form
    802,493,298/1,130,087,402 = 1,130,087,402/x
  3. Step 3: Cross multiply
    802,493,298x = 1,130,087,402 × 1,130,087,402
  4. Step 4: Simplify right side
    802,493,298x = 1,277,097,536,159,109,632
  5. Step 5: Solve for x
    x = 1,277,097,536,159,109,632/802,493,298
  6. Step 6: Final answer
    x = 1,591,412,089.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.