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Finding the Third Proportional to 724,463,824 and 1,129,742,421

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Solution

The third proportional to 724,463,824 and 1,129,742,421 is: 1,761,741,436.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,463,824 : 1,129,742,421 = 1,129,742,421 : x
  2. Step 2: Convert to fraction form
    724,463,824/1,129,742,421 = 1,129,742,421/x
  3. Step 3: Cross multiply
    724,463,824x = 1,129,742,421 × 1,129,742,421
  4. Step 4: Simplify right side
    724,463,824x = 1,276,317,937,806,941,184
  5. Step 5: Solve for x
    x = 1,276,317,937,806,941,184/724,463,824
  6. Step 6: Final answer
    x = 1,761,741,436.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.