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Finding the Third Proportional to 671,329,984 and 1,036,808,136

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Solution

The third proportional to 671,329,984 and 1,036,808,136 is: 1,601,255,919.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,329,984 : 1,036,808,136 = 1,036,808,136 : x
  2. Step 2: Convert to fraction form
    671,329,984/1,036,808,136 = 1,036,808,136/x
  3. Step 3: Cross multiply
    671,329,984x = 1,036,808,136 × 1,036,808,136
  4. Step 4: Simplify right side
    671,329,984x = 1,074,971,110,875,794,432
  5. Step 5: Solve for x
    x = 1,074,971,110,875,794,432/671,329,984
  6. Step 6: Final answer
    x = 1,601,255,919.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.