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Finding the Third Proportional to 291,893,428 and 634,593,944

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Solution

The third proportional to 291,893,428 and 634,593,944 is: 1,379,645,566.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,893,428 : 634,593,944 = 634,593,944 : x
  2. Step 2: Convert to fraction form
    291,893,428/634,593,944 = 634,593,944/x
  3. Step 3: Cross multiply
    291,893,428x = 634,593,944 × 634,593,944
  4. Step 4: Simplify right side
    291,893,428x = 402,709,473,761,475,136
  5. Step 5: Solve for x
    x = 402,709,473,761,475,136/291,893,428
  6. Step 6: Final answer
    x = 1,379,645,566.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.