Finding the Third Proportional to 605,688,496 and 1,314,748,494
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Solution
The third proportional to 605,688,496 and 1,314,748,494 is: 2,853,882,175.23
Step by Step Solution
- Step 1: Write the proportion equation
605,688,496 : 1,314,748,494 = 1,314,748,494 : x - Step 2: Convert to fraction form
605,688,496/1,314,748,494 = 1,314,748,494/x - Step 3: Cross multiply
605,688,496x = 1,314,748,494 × 1,314,748,494 - Step 4: Simplify right side
605,688,496x = 1,728,563,602,475,268,096 - Step 5: Solve for x
x = 1,728,563,602,475,268,096/605,688,496 - Step 6: Final answer
x = 2,853,882,175.23
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.