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Finding the Third Proportional to 827,798,316 and 1,298,573,088

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Solution

The third proportional to 827,798,316 and 1,298,573,088 is: 2,037,080,810.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,798,316 : 1,298,573,088 = 1,298,573,088 : x
  2. Step 2: Convert to fraction form
    827,798,316/1,298,573,088 = 1,298,573,088/x
  3. Step 3: Cross multiply
    827,798,316x = 1,298,573,088 × 1,298,573,088
  4. Step 4: Simplify right side
    827,798,316x = 1,686,292,064,877,855,744
  5. Step 5: Solve for x
    x = 1,686,292,064,877,855,744/827,798,316
  6. Step 6: Final answer
    x = 2,037,080,810.97

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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.