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Finding the Third Proportional to 487,603,046 and 1,041,335,140

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Solution

The third proportional to 487,603,046 and 1,041,335,140 is: 2,223,896,841.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,603,046 : 1,041,335,140 = 1,041,335,140 : x
  2. Step 2: Convert to fraction form
    487,603,046/1,041,335,140 = 1,041,335,140/x
  3. Step 3: Cross multiply
    487,603,046x = 1,041,335,140 × 1,041,335,140
  4. Step 4: Simplify right side
    487,603,046x = 1,084,378,873,798,819,584
  5. Step 5: Solve for x
    x = 1,084,378,873,798,819,584/487,603,046
  6. Step 6: Final answer
    x = 2,223,896,841.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.