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Finding the Third Proportional to 501,868,698 and 1,087,114,584

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Solution

The third proportional to 501,868,698 and 1,087,114,584 is: 2,354,835,285.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,868,698 : 1,087,114,584 = 1,087,114,584 : x
  2. Step 2: Convert to fraction form
    501,868,698/1,087,114,584 = 1,087,114,584/x
  3. Step 3: Cross multiply
    501,868,698x = 1,087,114,584 × 1,087,114,584
  4. Step 4: Simplify right side
    501,868,698x = 1,181,818,118,745,492,992
  5. Step 5: Solve for x
    x = 1,181,818,118,745,492,992/501,868,698
  6. Step 6: Final answer
    x = 2,354,835,285.51

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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.