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Finding the Third Proportional to 1,773,398.81 and 3,688,332.94

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Solution

The third proportional to 1,773,398.81 and 3,688,332.94 is: 7,671,032.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773,398.81 : 3,688,332.94 = 3,688,332.94 : x
  2. Step 2: Convert to fraction form
    1,773,398.81/3,688,332.94 = 3,688,332.94/x
  3. Step 3: Cross multiply
    1,773,398.81x = 3,688,332.94 × 3,688,332.94
  4. Step 4: Simplify right side
    1,773,398.81x = 13,603,799,901,069.48
  5. Step 5: Solve for x
    x = 13,603,799,901,069.48/1,773,398.81
  6. Step 6: Final answer
    x = 7,671,032.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.