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Finding the Third Proportional to 605,426,480 and 947,657,796

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Solution

The third proportional to 605,426,480 and 947,657,796 is: 1,483,343,276.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,426,480 : 947,657,796 = 947,657,796 : x
  2. Step 2: Convert to fraction form
    605,426,480/947,657,796 = 947,657,796/x
  3. Step 3: Cross multiply
    605,426,480x = 947,657,796 × 947,657,796
  4. Step 4: Simplify right side
    605,426,480x = 898,055,298,319,577,600
  5. Step 5: Solve for x
    x = 898,055,298,319,577,600/605,426,480
  6. Step 6: Final answer
    x = 1,483,343,276.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.