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Finding the Third Proportional to 387,645,984 and 850,611,432

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Solution

The third proportional to 387,645,984 and 850,611,432 is: 1,866,496,334.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,645,984 : 850,611,432 = 850,611,432 : x
  2. Step 2: Convert to fraction form
    387,645,984/850,611,432 = 850,611,432/x
  3. Step 3: Cross multiply
    387,645,984x = 850,611,432 × 850,611,432
  4. Step 4: Simplify right side
    387,645,984x = 723,539,808,249,090,560
  5. Step 5: Solve for x
    x = 723,539,808,249,090,560/387,645,984
  6. Step 6: Final answer
    x = 1,866,496,334.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.