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Finding the Third Proportional to 808,014,352 and 1,137,366,417

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Solution

The third proportional to 808,014,352 and 1,137,366,417 is: 1,600,964,590.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,014,352 : 1,137,366,417 = 1,137,366,417 : x
  2. Step 2: Convert to fraction form
    808,014,352/1,137,366,417 = 1,137,366,417/x
  3. Step 3: Cross multiply
    808,014,352x = 1,137,366,417 × 1,137,366,417
  4. Step 4: Simplify right side
    808,014,352x = 1,293,602,366,519,417,856
  5. Step 5: Solve for x
    x = 1,293,602,366,519,417,856/808,014,352
  6. Step 6: Final answer
    x = 1,600,964,590.94

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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.