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Finding the Third Proportional to 506,535,878 and 756,822,015

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Solution

The third proportional to 506,535,878 and 756,822,015 is: 1,130,777,872.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,535,878 : 756,822,015 = 756,822,015 : x
  2. Step 2: Convert to fraction form
    506,535,878/756,822,015 = 756,822,015/x
  3. Step 3: Cross multiply
    506,535,878x = 756,822,015 × 756,822,015
  4. Step 4: Simplify right side
    506,535,878x = 572,779,562,388,660,224
  5. Step 5: Solve for x
    x = 572,779,562,388,660,224/506,535,878
  6. Step 6: Final answer
    x = 1,130,777,872.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.