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Finding the Third Proportional to 917,642,718 and 1,402,796,865

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Solution

The third proportional to 917,642,718 and 1,402,796,865 is: 2,144,450,128.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,642,718 : 1,402,796,865 = 1,402,796,865 : x
  2. Step 2: Convert to fraction form
    917,642,718/1,402,796,865 = 1,402,796,865/x
  3. Step 3: Cross multiply
    917,642,718x = 1,402,796,865 × 1,402,796,865
  4. Step 4: Simplify right side
    917,642,718x = 1,967,839,044,453,828,352
  5. Step 5: Solve for x
    x = 1,967,839,044,453,828,352/917,642,718
  6. Step 6: Final answer
    x = 2,144,450,128.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.