Finding the Third Proportional to 589,316,943 and 1,283,261,346
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Solution
The third proportional to 589,316,943 and 1,283,261,346 is: 2,794,353,194.32
Step by Step Solution
- Step 1: Write the proportion equation
589,316,943 : 1,283,261,346 = 1,283,261,346 : x - Step 2: Convert to fraction form
589,316,943/1,283,261,346 = 1,283,261,346/x - Step 3: Cross multiply
589,316,943x = 1,283,261,346 × 1,283,261,346 - Step 4: Simplify right side
589,316,943x = 1,646,759,682,137,731,840 - Step 5: Solve for x
x = 1,646,759,682,137,731,840/589,316,943 - Step 6: Final answer
x = 2,794,353,194.32
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.