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Finding the Third Proportional to 778,897.69 and 1,179,088.31

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Solution

The third proportional to 778,897.69 and 1,179,088.31 is: 1,784,893.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,897.69 : 1,179,088.31 = 1,179,088.31 : x
  2. Step 2: Convert to fraction form
    778,897.69/1,179,088.31 = 1,179,088.31/x
  3. Step 3: Cross multiply
    778,897.69x = 1,179,088.31 × 1,179,088.31
  4. Step 4: Simplify right side
    778,897.69x = 1,390,249,248,674.10
  5. Step 5: Solve for x
    x = 1,390,249,248,674.10/778,897.69
  6. Step 6: Final answer
    x = 1,784,893.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.